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Finding the Fourth Proportional to 288.05, 431.84 and 114.65

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Solution

The fourth proportional to 288.05, 431.84 and 114.65 is: 171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.05 : 431.84 = 114.65 : x
  2. Step 2: Convert to fraction form
    288.05/431.84 = 114.65/x
  3. Step 3: Cross multiply
    288.05x = 431.84 × 114.65
  4. Step 4: Simplify right side
    288.05x = 49,508.30
  5. Step 5: Solve for x
    x = 49,508.30/288.05
  6. Step 6: Final answer
    x = 171.87

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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.