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Finding the Fourth Proportional to 180.97, 249.67 and 148.16

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Solution

The fourth proportional to 180.97, 249.67 and 148.16 is: 204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.97 : 249.67 = 148.16 : x
  2. Step 2: Convert to fraction form
    180.97/249.67 = 148.16/x
  3. Step 3: Cross multiply
    180.97x = 249.67 × 148.16
  4. Step 4: Simplify right side
    180.97x = 36,991.11
  5. Step 5: Solve for x
    x = 36,991.11/180.97
  6. Step 6: Final answer
    x = 204.40

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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.