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Finding the Fourth Proportional to 242.44, 334.62 and 180.46

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Solution

The fourth proportional to 242.44, 334.62 and 180.46 is: 249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.44 : 334.62 = 180.46 : x
  2. Step 2: Convert to fraction form
    242.44/334.62 = 180.46/x
  3. Step 3: Cross multiply
    242.44x = 334.62 × 180.46
  4. Step 4: Simplify right side
    242.44x = 60,385.53
  5. Step 5: Solve for x
    x = 60,385.53/242.44
  6. Step 6: Final answer
    x = 249.07

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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.