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Finding the Fourth Proportional to 461.21, 691.70 and 136.50

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Solution

The fourth proportional to 461.21, 691.70 and 136.50 is: 204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.21 : 691.70 = 136.50 : x
  2. Step 2: Convert to fraction form
    461.21/691.70 = 136.50/x
  3. Step 3: Cross multiply
    461.21x = 691.70 × 136.50
  4. Step 4: Simplify right side
    461.21x = 94,416.37
  5. Step 5: Solve for x
    x = 94,416.37/461.21
  6. Step 6: Final answer
    x = 204.71

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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.