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Finding the Fourth Proportional to 242.52, 334.83 and 180.28

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Solution

The fourth proportional to 242.52, 334.83 and 180.28 is: 248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.52 : 334.83 = 180.28 : x
  2. Step 2: Convert to fraction form
    242.52/334.83 = 180.28/x
  3. Step 3: Cross multiply
    242.52x = 334.83 × 180.28
  4. Step 4: Simplify right side
    242.52x = 60,360.58
  5. Step 5: Solve for x
    x = 60,360.58/242.52
  6. Step 6: Final answer
    x = 248.89

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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.