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Finding the Fourth Proportional to 176.14, 263.76 and 140.14

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Solution

The fourth proportional to 176.14, 263.76 and 140.14 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.14 : 263.76 = 140.14 : x
  2. Step 2: Convert to fraction form
    176.14/263.76 = 140.14/x
  3. Step 3: Cross multiply
    176.14x = 263.76 × 140.14
  4. Step 4: Simplify right side
    176.14x = 36,963.33
  5. Step 5: Solve for x
    x = 36,963.33/176.14
  6. Step 6: Final answer
    x = 209.85

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