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Finding the Fourth Proportional to 143.76, 213.24 and 141.60

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Solution

The fourth proportional to 143.76, 213.24 and 141.60 is: 210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.76 : 213.24 = 141.60 : x
  2. Step 2: Convert to fraction form
    143.76/213.24 = 141.60/x
  3. Step 3: Cross multiply
    143.76x = 213.24 × 141.60
  4. Step 4: Simplify right side
    143.76x = 30,194.78
  5. Step 5: Solve for x
    x = 30,194.78/143.76
  6. Step 6: Final answer
    x = 210.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.