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Finding the Fourth Proportional to 242.78, 334.52 and 165.02

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Solution

The fourth proportional to 242.78, 334.52 and 165.02 is: 227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.78 : 334.52 = 165.02 : x
  2. Step 2: Convert to fraction form
    242.78/334.52 = 165.02/x
  3. Step 3: Cross multiply
    242.78x = 334.52 × 165.02
  4. Step 4: Simplify right side
    242.78x = 55,202.49
  5. Step 5: Solve for x
    x = 55,202.49/242.78
  6. Step 6: Final answer
    x = 227.38

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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.