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Finding the Fourth Proportional to 180.28, 248.95 and 143.70

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Solution

The fourth proportional to 180.28, 248.95 and 143.70 is: 198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.28 : 248.95 = 143.70 : x
  2. Step 2: Convert to fraction form
    180.28/248.95 = 143.70/x
  3. Step 3: Cross multiply
    180.28x = 248.95 × 143.70
  4. Step 4: Simplify right side
    180.28x = 35,774.74
  5. Step 5: Solve for x
    x = 35,774.74/180.28
  6. Step 6: Final answer
    x = 198.45

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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.