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Finding the Fourth Proportional to 360.62, 540.70 and 177.78

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Solution

The fourth proportional to 360.62, 540.70 and 177.78 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.62 : 540.70 = 177.78 : x
  2. Step 2: Convert to fraction form
    360.62/540.70 = 177.78/x
  3. Step 3: Cross multiply
    360.62x = 540.70 × 177.78
  4. Step 4: Simplify right side
    360.62x = 96,125.65
  5. Step 5: Solve for x
    x = 96,125.65/360.62
  6. Step 6: Final answer
    x = 266.56

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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.