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Finding the Fourth Proportional to 288.94, 398.75 and 172.57

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Solution

The fourth proportional to 288.94, 398.75 and 172.57 is: 238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.94 : 398.75 = 172.57 : x
  2. Step 2: Convert to fraction form
    288.94/398.75 = 172.57/x
  3. Step 3: Cross multiply
    288.94x = 398.75 × 172.57
  4. Step 4: Simplify right side
    288.94x = 68,810.43
  5. Step 5: Solve for x
    x = 68,810.43/288.94
  6. Step 6: Final answer
    x = 238.15

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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.