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Finding the Fourth Proportional to 288.29, 397.83 and 157.30

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Solution

The fourth proportional to 288.29, 397.83 and 157.30 is: 217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.29 : 397.83 = 157.30 : x
  2. Step 2: Convert to fraction form
    288.29/397.83 = 157.30/x
  3. Step 3: Cross multiply
    288.29x = 397.83 × 157.30
  4. Step 4: Simplify right side
    288.29x = 62,576.67
  5. Step 5: Solve for x
    x = 62,576.67/288.29
  6. Step 6: Final answer
    x = 217.07

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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.