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Finding the Fourth Proportional to 288.38, 398.07 and 177.90

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Solution

The fourth proportional to 288.38, 398.07 and 177.90 is: 245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.38 : 398.07 = 177.90 : x
  2. Step 2: Convert to fraction form
    288.38/398.07 = 177.90/x
  3. Step 3: Cross multiply
    288.38x = 398.07 × 177.90
  4. Step 4: Simplify right side
    288.38x = 70,816.65
  5. Step 5: Solve for x
    x = 70,816.65/288.38
  6. Step 6: Final answer
    x = 245.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.