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Finding the Fourth Proportional to 172.12, 257.82 and 158.80

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Solution

The fourth proportional to 172.12, 257.82 and 158.80 is: 237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.12 : 257.82 = 158.80 : x
  2. Step 2: Convert to fraction form
    172.12/257.82 = 158.80/x
  3. Step 3: Cross multiply
    172.12x = 257.82 × 158.80
  4. Step 4: Simplify right side
    172.12x = 40,941.82
  5. Step 5: Solve for x
    x = 40,941.82/172.12
  6. Step 6: Final answer
    x = 237.87

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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.