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Finding the Fourth Proportional to 158.82, 237.12 and 140.64

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Solution

The fourth proportional to 158.82, 237.12 and 140.64 is: 209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.82 : 237.12 = 140.64 : x
  2. Step 2: Convert to fraction form
    158.82/237.12 = 140.64/x
  3. Step 3: Cross multiply
    158.82x = 237.12 × 140.64
  4. Step 4: Simplify right side
    158.82x = 33,348.56
  5. Step 5: Solve for x
    x = 33,348.56/158.82
  6. Step 6: Final answer
    x = 209.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.