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Finding the Fourth Proportional to 242.96, 335.25 and 154.46

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Solution

The fourth proportional to 242.96, 335.25 and 154.46 is: 213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.96 : 335.25 = 154.46 : x
  2. Step 2: Convert to fraction form
    242.96/335.25 = 154.46/x
  3. Step 3: Cross multiply
    242.96x = 335.25 × 154.46
  4. Step 4: Simplify right side
    242.96x = 51,781.04
  5. Step 5: Solve for x
    x = 51,781.04/242.96
  6. Step 6: Final answer
    x = 213.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.