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Finding the Fourth Proportional to 189.32, 283.76 and 86.70

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Solution

The fourth proportional to 189.32, 283.76 and 86.70 is: 129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 283.76 = 86.70 : x
  2. Step 2: Convert to fraction form
    189.32/283.76 = 86.70/x
  3. Step 3: Cross multiply
    189.32x = 283.76 × 86.70
  4. Step 4: Simplify right side
    189.32x = 24,601.99
  5. Step 5: Solve for x
    x = 24,601.99/189.32
  6. Step 6: Final answer
    x = 129.95

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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.