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Finding the Fourth Proportional to 288.46, 398.08 and 157.47

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Solution

The fourth proportional to 288.46, 398.08 and 157.47 is: 217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.46 : 398.08 = 157.47 : x
  2. Step 2: Convert to fraction form
    288.46/398.08 = 157.47/x
  3. Step 3: Cross multiply
    288.46x = 398.08 × 157.47
  4. Step 4: Simplify right side
    288.46x = 62,685.66
  5. Step 5: Solve for x
    x = 62,685.66/288.46
  6. Step 6: Final answer
    x = 217.31

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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.