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Finding the Fourth Proportional to 692.16, 1,038.42 and 205.22

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Solution

The fourth proportional to 692.16, 1,038.42 and 205.22 is: 307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.16 : 1,038.42 = 205.22 : x
  2. Step 2: Convert to fraction form
    692.16/1,038.42 = 205.22/x
  3. Step 3: Cross multiply
    692.16x = 1,038.42 × 205.22
  4. Step 4: Simplify right side
    692.16x = 213,099.36
  5. Step 5: Solve for x
    x = 213,099.36/692.16
  6. Step 6: Final answer
    x = 307.88

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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.