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Finding the Fourth Proportional to 158.80, 237.75 and 120.16

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Solution

The fourth proportional to 158.80, 237.75 and 120.16 is: 179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.80 : 237.75 = 120.16 : x
  2. Step 2: Convert to fraction form
    158.80/237.75 = 120.16/x
  3. Step 3: Cross multiply
    158.80x = 237.75 × 120.16
  4. Step 4: Simplify right side
    158.80x = 28,568.04
  5. Step 5: Solve for x
    x = 28,568.04/158.80
  6. Step 6: Final answer
    x = 179.90

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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.