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Finding the Fourth Proportional to 288.53, 398.16 and 157.53

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Solution

The fourth proportional to 288.53, 398.16 and 157.53 is: 217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.53 : 398.16 = 157.53 : x
  2. Step 2: Convert to fraction form
    288.53/398.16 = 157.53/x
  3. Step 3: Cross multiply
    288.53x = 398.16 × 157.53
  4. Step 4: Simplify right side
    288.53x = 62,722.14
  5. Step 5: Solve for x
    x = 62,722.14/288.53
  6. Step 6: Final answer
    x = 217.39

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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.