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Finding the Fourth Proportional to 692.25, 1,038.42 and 179.25

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Solution

The fourth proportional to 692.25, 1,038.42 and 179.25 is: 268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.25 : 1,038.42 = 179.25 : x
  2. Step 2: Convert to fraction form
    692.25/1,038.42 = 179.25/x
  3. Step 3: Cross multiply
    692.25x = 1,038.42 × 179.25
  4. Step 4: Simplify right side
    692.25x = 186,136.79
  5. Step 5: Solve for x
    x = 186,136.79/692.25
  6. Step 6: Final answer
    x = 268.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.