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Finding the Fourth Proportional to 249.39, 373.62 and 180.74

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Solution

The fourth proportional to 249.39, 373.62 and 180.74 is: 270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.39 : 373.62 = 180.74 : x
  2. Step 2: Convert to fraction form
    249.39/373.62 = 180.74/x
  3. Step 3: Cross multiply
    249.39x = 373.62 × 180.74
  4. Step 4: Simplify right side
    249.39x = 67,528.08
  5. Step 5: Solve for x
    x = 67,528.08/249.39
  6. Step 6: Final answer
    x = 270.77

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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.