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Finding the Fourth Proportional to 249.78, 374.86 and 173.28

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Solution

The fourth proportional to 249.78, 374.86 and 173.28 is: 260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.78 : 374.86 = 173.28 : x
  2. Step 2: Convert to fraction form
    249.78/374.86 = 173.28/x
  3. Step 3: Cross multiply
    249.78x = 374.86 × 173.28
  4. Step 4: Simplify right side
    249.78x = 64,954.80
  5. Step 5: Solve for x
    x = 64,954.80/249.78
  6. Step 6: Final answer
    x = 260.05

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