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Finding the Fourth Proportional to 461.47, 692.31 and 187.74

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Solution

The fourth proportional to 461.47, 692.31 and 187.74 is: 281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.47 : 692.31 = 187.74 : x
  2. Step 2: Convert to fraction form
    461.47/692.31 = 187.74/x
  3. Step 3: Cross multiply
    461.47x = 692.31 × 187.74
  4. Step 4: Simplify right side
    461.47x = 129,974.28
  5. Step 5: Solve for x
    x = 129,974.28/461.47
  6. Step 6: Final answer
    x = 281.65

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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.