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Finding the Fourth Proportional to 153.12, 230.87 and 140.16

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Solution

The fourth proportional to 153.12, 230.87 and 140.16 is: 211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.12 : 230.87 = 140.16 : x
  2. Step 2: Convert to fraction form
    153.12/230.87 = 140.16/x
  3. Step 3: Cross multiply
    153.12x = 230.87 × 140.16
  4. Step 4: Simplify right side
    153.12x = 32,358.74
  5. Step 5: Solve for x
    x = 32,358.74/153.12
  6. Step 6: Final answer
    x = 211.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.