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Finding the Fourth Proportional to 289.87, 400.13 and 179.35

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Solution

The fourth proportional to 289.87, 400.13 and 179.35 is: 247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.87 : 400.13 = 179.35 : x
  2. Step 2: Convert to fraction form
    289.87/400.13 = 179.35/x
  3. Step 3: Cross multiply
    289.87x = 400.13 × 179.35
  4. Step 4: Simplify right side
    289.87x = 71,763.32
  5. Step 5: Solve for x
    x = 71,763.32/289.87
  6. Step 6: Final answer
    x = 247.57

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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.