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Finding the Fourth Proportional to 461.19, 691.44 and 152.85

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Solution

The fourth proportional to 461.19, 691.44 and 152.85 is: 229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.19 : 691.44 = 152.85 : x
  2. Step 2: Convert to fraction form
    461.19/691.44 = 152.85/x
  3. Step 3: Cross multiply
    461.19x = 691.44 × 152.85
  4. Step 4: Simplify right side
    461.19x = 105,686.60
  5. Step 5: Solve for x
    x = 105,686.60/461.19
  6. Step 6: Final answer
    x = 229.16

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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.