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Finding the Fourth Proportional to 243.17, 364.76 and 113.13

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Solution

The fourth proportional to 243.17, 364.76 and 113.13 is: 169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.17 : 364.76 = 113.13 : x
  2. Step 2: Convert to fraction form
    243.17/364.76 = 113.13/x
  3. Step 3: Cross multiply
    243.17x = 364.76 × 113.13
  4. Step 4: Simplify right side
    243.17x = 41,265.30
  5. Step 5: Solve for x
    x = 41,265.30/243.17
  6. Step 6: Final answer
    x = 169.70

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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.