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Finding the Fourth Proportional to 189.32, 284.08 and 102.65

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Solution

The fourth proportional to 189.32, 284.08 and 102.65 is: 154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 284.08 = 102.65 : x
  2. Step 2: Convert to fraction form
    189.32/284.08 = 102.65/x
  3. Step 3: Cross multiply
    189.32x = 284.08 × 102.65
  4. Step 4: Simplify right side
    189.32x = 29,160.81
  5. Step 5: Solve for x
    x = 29,160.81/189.32
  6. Step 6: Final answer
    x = 154.03

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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.