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Finding the Fourth Proportional to 461.05, 691.31 and 152.82

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Solution

The fourth proportional to 461.05, 691.31 and 152.82 is: 229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.05 : 691.31 = 152.82 : x
  2. Step 2: Convert to fraction form
    461.05/691.31 = 152.82/x
  3. Step 3: Cross multiply
    461.05x = 691.31 × 152.82
  4. Step 4: Simplify right side
    461.05x = 105,646.38
  5. Step 5: Solve for x
    x = 105,646.38/461.05
  6. Step 6: Final answer
    x = 229.14

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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.