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Finding the Fourth Proportional to 344.65, 517.07 and 180.13

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Solution

The fourth proportional to 344.65, 517.07 and 180.13 is: 270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.65 : 517.07 = 180.13 : x
  2. Step 2: Convert to fraction form
    344.65/517.07 = 180.13/x
  3. Step 3: Cross multiply
    344.65x = 517.07 × 180.13
  4. Step 4: Simplify right side
    344.65x = 93,139.82
  5. Step 5: Solve for x
    x = 93,139.82/344.65
  6. Step 6: Final answer
    x = 270.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.