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Finding the Fourth Proportional to 242.92, 335.28 and 165.16

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Solution

The fourth proportional to 242.92, 335.28 and 165.16 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.92 : 335.28 = 165.16 : x
  2. Step 2: Convert to fraction form
    242.92/335.28 = 165.16/x
  3. Step 3: Cross multiply
    242.92x = 335.28 × 165.16
  4. Step 4: Simplify right side
    242.92x = 55,374.84
  5. Step 5: Solve for x
    x = 55,374.84/242.92
  6. Step 6: Final answer
    x = 227.96

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Why These Related Problems?

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