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Finding the Fourth Proportional to 288.52, 398.14 and 157.52

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Solution

The fourth proportional to 288.52, 398.14 and 157.52 is: 217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 398.14 = 157.52 : x
  2. Step 2: Convert to fraction form
    288.52/398.14 = 157.52/x
  3. Step 3: Cross multiply
    288.52x = 398.14 × 157.52
  4. Step 4: Simplify right side
    288.52x = 62,715.01
  5. Step 5: Solve for x
    x = 62,715.01/288.52
  6. Step 6: Final answer
    x = 217.37

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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.