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Finding the Fourth Proportional to 289.65, 399.69 and 179.13

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Solution

The fourth proportional to 289.65, 399.69 and 179.13 is: 247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.65 : 399.69 = 179.13 : x
  2. Step 2: Convert to fraction form
    289.65/399.69 = 179.13/x
  3. Step 3: Cross multiply
    289.65x = 399.69 × 179.13
  4. Step 4: Simplify right side
    289.65x = 71,596.47
  5. Step 5: Solve for x
    x = 71,596.47/289.65
  6. Step 6: Final answer
    x = 247.18

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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.