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Finding the Fourth Proportional to 288.71, 398.57 and 178.25

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Solution

The fourth proportional to 288.71, 398.57 and 178.25 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.71 : 398.57 = 178.25 : x
  2. Step 2: Convert to fraction form
    288.71/398.57 = 178.25/x
  3. Step 3: Cross multiply
    288.71x = 398.57 × 178.25
  4. Step 4: Simplify right side
    288.71x = 71,045.10
  5. Step 5: Solve for x
    x = 71,045.10/288.71
  6. Step 6: Final answer
    x = 246.08

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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.