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Finding the Fourth Proportional to 288.73, 398.46 and 157.75

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Solution

The fourth proportional to 288.73, 398.46 and 157.75 is: 217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.73 : 398.46 = 157.75 : x
  2. Step 2: Convert to fraction form
    288.73/398.46 = 157.75/x
  3. Step 3: Cross multiply
    288.73x = 398.46 × 157.75
  4. Step 4: Simplify right side
    288.73x = 62,857.07
  5. Step 5: Solve for x
    x = 62,857.07/288.73
  6. Step 6: Final answer
    x = 217.70

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