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Finding the Fourth Proportional to 175.96, 262.72 and 158.95

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Solution

The fourth proportional to 175.96, 262.72 and 158.95 is: 237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.96 : 262.72 = 158.95 : x
  2. Step 2: Convert to fraction form
    175.96/262.72 = 158.95/x
  3. Step 3: Cross multiply
    175.96x = 262.72 × 158.95
  4. Step 4: Simplify right side
    175.96x = 41,759.34
  5. Step 5: Solve for x
    x = 41,759.34/175.96
  6. Step 6: Final answer
    x = 237.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.