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Finding the Fourth Proportional to 288.75, 398.52 and 172.29

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Solution

The fourth proportional to 288.75, 398.52 and 172.29 is: 237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.75 : 398.52 = 172.29 : x
  2. Step 2: Convert to fraction form
    288.75/398.52 = 172.29/x
  3. Step 3: Cross multiply
    288.75x = 398.52 × 172.29
  4. Step 4: Simplify right side
    288.75x = 68,661.01
  5. Step 5: Solve for x
    x = 68,661.01/288.75
  6. Step 6: Final answer
    x = 237.79

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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.