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Finding the Fourth Proportional to 288.52, 398.17 and 172.06

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Solution

The fourth proportional to 288.52, 398.17 and 172.06 is: 237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 398.17 = 172.06 : x
  2. Step 2: Convert to fraction form
    288.52/398.17 = 172.06/x
  3. Step 3: Cross multiply
    288.52x = 398.17 × 172.06
  4. Step 4: Simplify right side
    288.52x = 68,509.13
  5. Step 5: Solve for x
    x = 68,509.13/288.52
  6. Step 6: Final answer
    x = 237.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.