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Finding the Fourth Proportional to 140.78, 210.80 and 116.48

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Solution

The fourth proportional to 140.78, 210.80 and 116.48 is: 174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.78 : 210.80 = 116.48 : x
  2. Step 2: Convert to fraction form
    140.78/210.80 = 116.48/x
  3. Step 3: Cross multiply
    140.78x = 210.80 × 116.48
  4. Step 4: Simplify right side
    140.78x = 24,553.22
  5. Step 5: Solve for x
    x = 24,553.22/140.78
  6. Step 6: Final answer
    x = 174.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.