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Finding the Fourth Proportional to 288.52, 398.20 and 172.12

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Solution

The fourth proportional to 288.52, 398.20 and 172.12 is: 237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 398.20 = 172.12 : x
  2. Step 2: Convert to fraction form
    288.52/398.20 = 172.12/x
  3. Step 3: Cross multiply
    288.52x = 398.20 × 172.12
  4. Step 4: Simplify right side
    288.52x = 68,538.18
  5. Step 5: Solve for x
    x = 68,538.18/288.52
  6. Step 6: Final answer
    x = 237.55

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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.