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Finding the Fourth Proportional to 189.47, 284.21 and 86.83

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Solution

The fourth proportional to 189.47, 284.21 and 86.83 is: 130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.47 : 284.21 = 86.83 : x
  2. Step 2: Convert to fraction form
    189.47/284.21 = 86.83/x
  3. Step 3: Cross multiply
    189.47x = 284.21 × 86.83
  4. Step 4: Simplify right side
    189.47x = 24,677.93
  5. Step 5: Solve for x
    x = 24,677.93/189.47
  6. Step 6: Final answer
    x = 130.25

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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.