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Finding the Fourth Proportional to 518.42, 777.67 and 167.06

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Solution

The fourth proportional to 518.42, 777.67 and 167.06 is: 250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.42 : 777.67 = 167.06 : x
  2. Step 2: Convert to fraction form
    518.42/777.67 = 167.06/x
  3. Step 3: Cross multiply
    518.42x = 777.67 × 167.06
  4. Step 4: Simplify right side
    518.42x = 129,919.08
  5. Step 5: Solve for x
    x = 129,919.08/518.42
  6. Step 6: Final answer
    x = 250.60

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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.