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Finding the Fourth Proportional to 461.24, 691.85 and 153.09

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Solution

The fourth proportional to 461.24, 691.85 and 153.09 is: 229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.24 : 691.85 = 153.09 : x
  2. Step 2: Convert to fraction form
    461.24/691.85 = 153.09/x
  3. Step 3: Cross multiply
    461.24x = 691.85 × 153.09
  4. Step 4: Simplify right side
    461.24x = 105,915.32
  5. Step 5: Solve for x
    x = 105,915.32/461.24
  6. Step 6: Final answer
    x = 229.63

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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.