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Finding the Fourth Proportional to 288.69, 398.25 and 176.60

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Solution

The fourth proportional to 288.69, 398.25 and 176.60 is: 243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.69 : 398.25 = 176.60 : x
  2. Step 2: Convert to fraction form
    288.69/398.25 = 176.60/x
  3. Step 3: Cross multiply
    288.69x = 398.25 × 176.60
  4. Step 4: Simplify right side
    288.69x = 70,330.95
  5. Step 5: Solve for x
    x = 70,330.95/288.69
  6. Step 6: Final answer
    x = 243.62

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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.