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Finding the Fourth Proportional to 189.64, 284.23 and 86.78

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Solution

The fourth proportional to 189.64, 284.23 and 86.78 is: 130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.64 : 284.23 = 86.78 : x
  2. Step 2: Convert to fraction form
    189.64/284.23 = 86.78/x
  3. Step 3: Cross multiply
    189.64x = 284.23 × 86.78
  4. Step 4: Simplify right side
    189.64x = 24,665.19
  5. Step 5: Solve for x
    x = 24,665.19/189.64
  6. Step 6: Final answer
    x = 130.07

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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.