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Finding the Fourth Proportional to 242.86, 363.14 and 209.02

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Solution

The fourth proportional to 242.86, 363.14 and 209.02 is: 312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.86 : 363.14 = 209.02 : x
  2. Step 2: Convert to fraction form
    242.86/363.14 = 209.02/x
  3. Step 3: Cross multiply
    242.86x = 363.14 × 209.02
  4. Step 4: Simplify right side
    242.86x = 75,903.52
  5. Step 5: Solve for x
    x = 75,903.52/242.86
  6. Step 6: Final answer
    x = 312.54

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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.