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Finding the Fourth Proportional to 537.24, 805.94 and 167.03

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Solution

The fourth proportional to 537.24, 805.94 and 167.03 is: 250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 805.94 = 167.03 : x
  2. Step 2: Convert to fraction form
    537.24/805.94 = 167.03/x
  3. Step 3: Cross multiply
    537.24x = 805.94 × 167.03
  4. Step 4: Simplify right side
    537.24x = 134,616.16
  5. Step 5: Solve for x
    x = 134,616.16/537.24
  6. Step 6: Final answer
    x = 250.57

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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.