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Finding the Fourth Proportional to 289.28, 398.72 and 185.60

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Solution

The fourth proportional to 289.28, 398.72 and 185.60 is: 255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.28 : 398.72 = 185.60 : x
  2. Step 2: Convert to fraction form
    289.28/398.72 = 185.60/x
  3. Step 3: Cross multiply
    289.28x = 398.72 × 185.60
  4. Step 4: Simplify right side
    289.28x = 74,002.43
  5. Step 5: Solve for x
    x = 74,002.43/289.28
  6. Step 6: Final answer
    x = 255.82

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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.