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Finding the Fourth Proportional to 175.29, 262.86 and 114.31

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Solution

The fourth proportional to 175.29, 262.86 and 114.31 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.29 : 262.86 = 114.31 : x
  2. Step 2: Convert to fraction form
    175.29/262.86 = 114.31/x
  3. Step 3: Cross multiply
    175.29x = 262.86 × 114.31
  4. Step 4: Simplify right side
    175.29x = 30,047.53
  5. Step 5: Solve for x
    x = 30,047.53/175.29
  6. Step 6: Final answer
    x = 171.42

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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.