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Finding the Fourth Proportional to 518.66, 778.13 and 172.02

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Solution

The fourth proportional to 518.66, 778.13 and 172.02 is: 258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.66 : 778.13 = 172.02 : x
  2. Step 2: Convert to fraction form
    518.66/778.13 = 172.02/x
  3. Step 3: Cross multiply
    518.66x = 778.13 × 172.02
  4. Step 4: Simplify right side
    518.66x = 133,853.92
  5. Step 5: Solve for x
    x = 133,853.92/518.66
  6. Step 6: Final answer
    x = 258.08

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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.