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Finding the Fourth Proportional to 153.50, 230.17 and 110.14

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Solution

The fourth proportional to 153.50, 230.17 and 110.14 is: 165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.50 : 230.17 = 110.14 : x
  2. Step 2: Convert to fraction form
    153.50/230.17 = 110.14/x
  3. Step 3: Cross multiply
    153.50x = 230.17 × 110.14
  4. Step 4: Simplify right side
    153.50x = 25,350.92
  5. Step 5: Solve for x
    x = 25,350.92/153.50
  6. Step 6: Final answer
    x = 165.15

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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.