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Finding the Fourth Proportional to 242.51, 363.86 and 88.43

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Solution

The fourth proportional to 242.51, 363.86 and 88.43 is: 132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.51 : 363.86 = 88.43 : x
  2. Step 2: Convert to fraction form
    242.51/363.86 = 88.43/x
  3. Step 3: Cross multiply
    242.51x = 363.86 × 88.43
  4. Step 4: Simplify right side
    242.51x = 32,176.14
  5. Step 5: Solve for x
    x = 32,176.14/242.51
  6. Step 6: Final answer
    x = 132.68

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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.