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Finding the Fourth Proportional to 461.01, 691.50 and 152.82

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Solution

The fourth proportional to 461.01, 691.50 and 152.82 is: 229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.01 : 691.50 = 152.82 : x
  2. Step 2: Convert to fraction form
    461.01/691.50 = 152.82/x
  3. Step 3: Cross multiply
    461.01x = 691.50 × 152.82
  4. Step 4: Simplify right side
    461.01x = 105,675.03
  5. Step 5: Solve for x
    x = 105,675.03/461.01
  6. Step 6: Final answer
    x = 229.23

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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.