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Finding the Fourth Proportional to 537.22, 805.89 and 167.05

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Solution

The fourth proportional to 537.22, 805.89 and 167.05 is: 250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.22 : 805.89 = 167.05 : x
  2. Step 2: Convert to fraction form
    537.22/805.89 = 167.05/x
  3. Step 3: Cross multiply
    537.22x = 805.89 × 167.05
  4. Step 4: Simplify right side
    537.22x = 134,621.91
  5. Step 5: Solve for x
    x = 134,621.91/537.22
  6. Step 6: Final answer
    x = 250.59

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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.