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Finding the Fourth Proportional to 249.02, 373.48 and 181.12

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Solution

The fourth proportional to 249.02, 373.48 and 181.12 is: 271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.02 : 373.48 = 181.12 : x
  2. Step 2: Convert to fraction form
    249.02/373.48 = 181.12/x
  3. Step 3: Cross multiply
    249.02x = 373.48 × 181.12
  4. Step 4: Simplify right side
    249.02x = 67,644.70
  5. Step 5: Solve for x
    x = 67,644.70/249.02
  6. Step 6: Final answer
    x = 271.64

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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.