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Finding the Fourth Proportional to 140.85, 210.17 and 139.63

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Solution

The fourth proportional to 140.85, 210.17 and 139.63 is: 208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.85 : 210.17 = 139.63 : x
  2. Step 2: Convert to fraction form
    140.85/210.17 = 139.63/x
  3. Step 3: Cross multiply
    140.85x = 210.17 × 139.63
  4. Step 4: Simplify right side
    140.85x = 29,346.04
  5. Step 5: Solve for x
    x = 29,346.04/140.85
  6. Step 6: Final answer
    x = 208.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.