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Finding the Fourth Proportional to 461.41, 691.90 and 153.20

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Solution

The fourth proportional to 461.41, 691.90 and 153.20 is: 229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.41 : 691.90 = 153.20 : x
  2. Step 2: Convert to fraction form
    461.41/691.90 = 153.20/x
  3. Step 3: Cross multiply
    461.41x = 691.90 × 153.20
  4. Step 4: Simplify right side
    461.41x = 105,999.08
  5. Step 5: Solve for x
    x = 105,999.08/461.41
  6. Step 6: Final answer
    x = 229.73

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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.