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Finding the Fourth Proportional to 242.18, 362.36 and 144.32

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Solution

The fourth proportional to 242.18, 362.36 and 144.32 is: 215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.18 : 362.36 = 144.32 : x
  2. Step 2: Convert to fraction form
    242.18/362.36 = 144.32/x
  3. Step 3: Cross multiply
    242.18x = 362.36 × 144.32
  4. Step 4: Simplify right side
    242.18x = 52,295.80
  5. Step 5: Solve for x
    x = 52,295.80/242.18
  6. Step 6: Final answer
    x = 215.94

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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.