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Finding the Fourth Proportional to 140.40, 210.24 and 116.10

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Solution

The fourth proportional to 140.40, 210.24 and 116.10 is: 173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.40 : 210.24 = 116.10 : x
  2. Step 2: Convert to fraction form
    140.40/210.24 = 116.10/x
  3. Step 3: Cross multiply
    140.40x = 210.24 × 116.10
  4. Step 4: Simplify right side
    140.40x = 24,408.86
  5. Step 5: Solve for x
    x = 24,408.86/140.40
  6. Step 6: Final answer
    x = 173.85

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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.