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Finding the Fourth Proportional to 242.09, 334.16 and 180.13

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Solution

The fourth proportional to 242.09, 334.16 and 180.13 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.09 : 334.16 = 180.13 : x
  2. Step 2: Convert to fraction form
    242.09/334.16 = 180.13/x
  3. Step 3: Cross multiply
    242.09x = 334.16 × 180.13
  4. Step 4: Simplify right side
    242.09x = 60,191.57
  5. Step 5: Solve for x
    x = 60,191.57/242.09
  6. Step 6: Final answer
    x = 248.63

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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.