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Finding the Fourth Proportional to 243.18, 364.72 and 69.86

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Solution

The fourth proportional to 243.18, 364.72 and 69.86 is: 104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.18 : 364.72 = 69.86 : x
  2. Step 2: Convert to fraction form
    243.18/364.72 = 69.86/x
  3. Step 3: Cross multiply
    243.18x = 364.72 × 69.86
  4. Step 4: Simplify right side
    243.18x = 25,479.34
  5. Step 5: Solve for x
    x = 25,479.34/243.18
  6. Step 6: Final answer
    x = 104.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.