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Finding the Fourth Proportional to 153.17, 229.89 and 109.84

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Solution

The fourth proportional to 153.17, 229.89 and 109.84 is: 164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.17 : 229.89 = 109.84 : x
  2. Step 2: Convert to fraction form
    153.17/229.89 = 109.84/x
  3. Step 3: Cross multiply
    153.17x = 229.89 × 109.84
  4. Step 4: Simplify right side
    153.17x = 25,249.97
  5. Step 5: Solve for x
    x = 25,249.97/153.17
  6. Step 6: Final answer
    x = 164.85

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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.