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Finding the Fourth Proportional to 242.56, 363.70 and 165.64

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Solution

The fourth proportional to 242.56, 363.70 and 165.64 is: 248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.56 : 363.70 = 165.64 : x
  2. Step 2: Convert to fraction form
    242.56/363.70 = 165.64/x
  3. Step 3: Cross multiply
    242.56x = 363.70 × 165.64
  4. Step 4: Simplify right side
    242.56x = 60,243.27
  5. Step 5: Solve for x
    x = 60,243.27/242.56
  6. Step 6: Final answer
    x = 248.36

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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.