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Finding the Fourth Proportional to 461.14, 691.84 and 153.02

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Solution

The fourth proportional to 461.14, 691.84 and 153.02 is: 229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.14 : 691.84 = 153.02 : x
  2. Step 2: Convert to fraction form
    461.14/691.84 = 153.02/x
  3. Step 3: Cross multiply
    461.14x = 691.84 × 153.02
  4. Step 4: Simplify right side
    461.14x = 105,865.36
  5. Step 5: Solve for x
    x = 105,865.36/461.14
  6. Step 6: Final answer
    x = 229.57

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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.