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Finding the Fourth Proportional to 180.64, 249 and 143.74

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Solution

The fourth proportional to 180.64, 249 and 143.74 is: 198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.64 : 249 = 143.74 : x
  2. Step 2: Convert to fraction form
    180.64/249 = 143.74/x
  3. Step 3: Cross multiply
    180.64x = 249 × 143.74
  4. Step 4: Simplify right side
    180.64x = 35,791.26
  5. Step 5: Solve for x
    x = 35,791.26/180.64
  6. Step 6: Final answer
    x = 198.14

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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.