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Finding the Fourth Proportional to 243.14, 364.70 and 171.86

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Solution

The fourth proportional to 243.14, 364.70 and 171.86 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.14 : 364.70 = 171.86 : x
  2. Step 2: Convert to fraction form
    243.14/364.70 = 171.86/x
  3. Step 3: Cross multiply
    243.14x = 364.70 × 171.86
  4. Step 4: Simplify right side
    243.14x = 62,675.95
  5. Step 5: Solve for x
    x = 62,675.95/243.14
  6. Step 6: Final answer
    x = 257.78

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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.