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Finding the Fourth Proportional to 519.12, 778.44 and 177.12

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Solution

The fourth proportional to 519.12, 778.44 and 177.12 is: 265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.12 : 778.44 = 177.12 : x
  2. Step 2: Convert to fraction form
    519.12/778.44 = 177.12/x
  3. Step 3: Cross multiply
    519.12x = 778.44 × 177.12
  4. Step 4: Simplify right side
    519.12x = 137,877.29
  5. Step 5: Solve for x
    x = 137,877.29/519.12
  6. Step 6: Final answer
    x = 265.60

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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.