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Finding the Fourth Proportional to 153.40, 230.24 and 110.16

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Solution

The fourth proportional to 153.40, 230.24 and 110.16 is: 165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.40 : 230.24 = 110.16 : x
  2. Step 2: Convert to fraction form
    153.40/230.24 = 110.16/x
  3. Step 3: Cross multiply
    153.40x = 230.24 × 110.16
  4. Step 4: Simplify right side
    153.40x = 25,363.24
  5. Step 5: Solve for x
    x = 25,363.24/153.40
  6. Step 6: Final answer
    x = 165.34

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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.