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Finding the Fourth Proportional to 153.28, 231.10 and 142.84

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Solution

The fourth proportional to 153.28, 231.10 and 142.84 is: 215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.28 : 231.10 = 142.84 : x
  2. Step 2: Convert to fraction form
    153.28/231.10 = 142.84/x
  3. Step 3: Cross multiply
    153.28x = 231.10 × 142.84
  4. Step 4: Simplify right side
    153.28x = 33,010.32
  5. Step 5: Solve for x
    x = 33,010.32/153.28
  6. Step 6: Final answer
    x = 215.36

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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.