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Finding the Fourth Proportional to 259.76, 357.96 and 180.80

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Solution

The fourth proportional to 259.76, 357.96 and 180.80 is: 249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.76 : 357.96 = 180.80 : x
  2. Step 2: Convert to fraction form
    259.76/357.96 = 180.80/x
  3. Step 3: Cross multiply
    259.76x = 357.96 × 180.80
  4. Step 4: Simplify right side
    259.76x = 64,719.17
  5. Step 5: Solve for x
    x = 64,719.17/259.76
  6. Step 6: Final answer
    x = 249.15

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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.