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Finding the Fourth Proportional to 461.30, 692.10 and 153.14

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Solution

The fourth proportional to 461.30, 692.10 and 153.14 is: 229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.30 : 692.10 = 153.14 : x
  2. Step 2: Convert to fraction form
    461.30/692.10 = 153.14/x
  3. Step 3: Cross multiply
    461.30x = 692.10 × 153.14
  4. Step 4: Simplify right side
    461.30x = 105,984.73
  5. Step 5: Solve for x
    x = 105,984.73/461.30
  6. Step 6: Final answer
    x = 229.75

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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.