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Finding the Fourth Proportional to 242.81, 364.39 and 165.85

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Solution

The fourth proportional to 242.81, 364.39 and 165.85 is: 248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.81 : 364.39 = 165.85 : x
  2. Step 2: Convert to fraction form
    242.81/364.39 = 165.85/x
  3. Step 3: Cross multiply
    242.81x = 364.39 × 165.85
  4. Step 4: Simplify right side
    242.81x = 60,435.46
  5. Step 5: Solve for x
    x = 60,435.46/242.81
  6. Step 6: Final answer
    x = 248.90

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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.