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Finding the Fourth Proportional to 189.40, 284.09 and 86.66

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Solution

The fourth proportional to 189.40, 284.09 and 86.66 is: 129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.40 : 284.09 = 86.66 : x
  2. Step 2: Convert to fraction form
    189.40/284.09 = 86.66/x
  3. Step 3: Cross multiply
    189.40x = 284.09 × 86.66
  4. Step 4: Simplify right side
    189.40x = 24,618.81
  5. Step 5: Solve for x
    x = 24,618.81/189.40
  6. Step 6: Final answer
    x = 129.98

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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.