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Finding the Fourth Proportional to 189.31, 284.03 and 181.55

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Solution

The fourth proportional to 189.31, 284.03 and 181.55 is: 272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.31 : 284.03 = 181.55 : x
  2. Step 2: Convert to fraction form
    189.31/284.03 = 181.55/x
  3. Step 3: Cross multiply
    189.31x = 284.03 × 181.55
  4. Step 4: Simplify right side
    189.31x = 51,565.65
  5. Step 5: Solve for x
    x = 51,565.65/189.31
  6. Step 6: Final answer
    x = 272.39

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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.