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Finding the Fourth Proportional to 189.32, 284.07 and 141.32

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Solution

The fourth proportional to 189.32, 284.07 and 141.32 is: 212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 284.07 = 141.32 : x
  2. Step 2: Convert to fraction form
    189.32/284.07 = 141.32/x
  3. Step 3: Cross multiply
    189.32x = 284.07 × 141.32
  4. Step 4: Simplify right side
    189.32x = 40,144.77
  5. Step 5: Solve for x
    x = 40,144.77/189.32
  6. Step 6: Final answer
    x = 212.05

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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.