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Finding the Fourth Proportional to 189.32, 282.76 and 158.90

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Solution

The fourth proportional to 189.32, 282.76 and 158.90 is: 237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 282.76 = 158.90 : x
  2. Step 2: Convert to fraction form
    189.32/282.76 = 158.90/x
  3. Step 3: Cross multiply
    189.32x = 282.76 × 158.90
  4. Step 4: Simplify right side
    189.32x = 44,928.75
  5. Step 5: Solve for x
    x = 44,928.75/189.32
  6. Step 6: Final answer
    x = 237.32

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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.