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Finding the Fourth Proportional to 288.85, 398.67 and 170.78

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Solution

The fourth proportional to 288.85, 398.67 and 170.78 is: 235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.85 : 398.67 = 170.78 : x
  2. Step 2: Convert to fraction form
    288.85/398.67 = 170.78/x
  3. Step 3: Cross multiply
    288.85x = 398.67 × 170.78
  4. Step 4: Simplify right side
    288.85x = 68,082.02
  5. Step 5: Solve for x
    x = 68,082.02/288.85
  6. Step 6: Final answer
    x = 235.70

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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.