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Finding the Fourth Proportional to 242.71, 363.88 and 121.06

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Solution

The fourth proportional to 242.71, 363.88 and 121.06 is: 181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.71 : 363.88 = 121.06 : x
  2. Step 2: Convert to fraction form
    242.71/363.88 = 121.06/x
  3. Step 3: Cross multiply
    242.71x = 363.88 × 121.06
  4. Step 4: Simplify right side
    242.71x = 44,049.49
  5. Step 5: Solve for x
    x = 44,049.49/242.71
  6. Step 6: Final answer
    x = 181.49

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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.