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Finding the Fourth Proportional to 189.38, 284.10 and 131.46

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Solution

The fourth proportional to 189.38, 284.10 and 131.46 is: 197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.38 : 284.10 = 131.46 : x
  2. Step 2: Convert to fraction form
    189.38/284.10 = 131.46/x
  3. Step 3: Cross multiply
    189.38x = 284.10 × 131.46
  4. Step 4: Simplify right side
    189.38x = 37,347.13
  5. Step 5: Solve for x
    x = 37,347.13/189.38
  6. Step 6: Final answer
    x = 197.21

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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.