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Finding the Fourth Proportional to 288.42, 398.01 and 171.90

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Solution

The fourth proportional to 288.42, 398.01 and 171.90 is: 237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.42 : 398.01 = 171.90 : x
  2. Step 2: Convert to fraction form
    288.42/398.01 = 171.90/x
  3. Step 3: Cross multiply
    288.42x = 398.01 × 171.90
  4. Step 4: Simplify right side
    288.42x = 68,417.92
  5. Step 5: Solve for x
    x = 68,417.92/288.42
  6. Step 6: Final answer
    x = 237.22

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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.