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Finding the Fourth Proportional to 263.03, 362.85 and 180.14

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Solution

The fourth proportional to 263.03, 362.85 and 180.14 is: 248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.03 : 362.85 = 180.14 : x
  2. Step 2: Convert to fraction form
    263.03/362.85 = 180.14/x
  3. Step 3: Cross multiply
    263.03x = 362.85 × 180.14
  4. Step 4: Simplify right side
    263.03x = 65,363.80
  5. Step 5: Solve for x
    x = 65,363.80/263.03
  6. Step 6: Final answer
    x = 248.50

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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.