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Finding the Fourth Proportional to 250.90, 345.76 and 180.84

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Solution

The fourth proportional to 250.90, 345.76 and 180.84 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.90 : 345.76 = 180.84 : x
  2. Step 2: Convert to fraction form
    250.90/345.76 = 180.84/x
  3. Step 3: Cross multiply
    250.90x = 345.76 × 180.84
  4. Step 4: Simplify right side
    250.90x = 62,527.24
  5. Step 5: Solve for x
    x = 62,527.24/250.90
  6. Step 6: Final answer
    x = 249.21

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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.