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Finding the Fourth Proportional to 242.06, 362.95 and 165.14

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Solution

The fourth proportional to 242.06, 362.95 and 165.14 is: 247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.06 : 362.95 = 165.14 : x
  2. Step 2: Convert to fraction form
    242.06/362.95 = 165.14/x
  3. Step 3: Cross multiply
    242.06x = 362.95 × 165.14
  4. Step 4: Simplify right side
    242.06x = 59,937.56
  5. Step 5: Solve for x
    x = 59,937.56/242.06
  6. Step 6: Final answer
    x = 247.61

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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.