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Finding the Fourth Proportional to 461.39, 691.64 and 153.03

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Solution

The fourth proportional to 461.39, 691.64 and 153.03 is: 229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.39 : 691.64 = 153.03 : x
  2. Step 2: Convert to fraction form
    461.39/691.64 = 153.03/x
  3. Step 3: Cross multiply
    461.39x = 691.64 × 153.03
  4. Step 4: Simplify right side
    461.39x = 105,840.90
  5. Step 5: Solve for x
    x = 105,840.90/461.39
  6. Step 6: Final answer
    x = 229.40

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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.