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Finding the Fourth Proportional to 153.97, 231 and 117.88

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Solution

The fourth proportional to 153.97, 231 and 117.88 is: 176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.97 : 231 = 117.88 : x
  2. Step 2: Convert to fraction form
    153.97/231 = 117.88/x
  3. Step 3: Cross multiply
    153.97x = 231 × 117.88
  4. Step 4: Simplify right side
    153.97x = 27,230.28
  5. Step 5: Solve for x
    x = 27,230.28/153.97
  6. Step 6: Final answer
    x = 176.85

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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.