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Finding the Fourth Proportional to 360.23, 540.36 and 177.77

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Solution

The fourth proportional to 360.23, 540.36 and 177.77 is: 266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.23 : 540.36 = 177.77 : x
  2. Step 2: Convert to fraction form
    360.23/540.36 = 177.77/x
  3. Step 3: Cross multiply
    360.23x = 540.36 × 177.77
  4. Step 4: Simplify right side
    360.23x = 96,059.80
  5. Step 5: Solve for x
    x = 96,059.80/360.23
  6. Step 6: Final answer
    x = 266.66

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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.