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Finding the Fourth Proportional to 243.68, 363.28 and 232.16

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Solution

The fourth proportional to 243.68, 363.28 and 232.16 is: 346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.68 : 363.28 = 232.16 : x
  2. Step 2: Convert to fraction form
    243.68/363.28 = 232.16/x
  3. Step 3: Cross multiply
    243.68x = 363.28 × 232.16
  4. Step 4: Simplify right side
    243.68x = 84,339.08
  5. Step 5: Solve for x
    x = 84,339.08/243.68
  6. Step 6: Final answer
    x = 346.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.