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Finding the Fourth Proportional to 778.02, 1,167.03 and 230.20

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Solution

The fourth proportional to 778.02, 1,167.03 and 230.20 is: 345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.02 : 1,167.03 = 230.20 : x
  2. Step 2: Convert to fraction form
    778.02/1,167.03 = 230.20/x
  3. Step 3: Cross multiply
    778.02x = 1,167.03 × 230.20
  4. Step 4: Simplify right side
    778.02x = 268,650.31
  5. Step 5: Solve for x
    x = 268,650.31/778.02
  6. Step 6: Final answer
    x = 345.30

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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.