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Finding the Fourth Proportional to 175.40, 262.92 and 88.64

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Solution

The fourth proportional to 175.40, 262.92 and 88.64 is: 132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.40 : 262.92 = 88.64 : x
  2. Step 2: Convert to fraction form
    175.40/262.92 = 88.64/x
  3. Step 3: Cross multiply
    175.40x = 262.92 × 88.64
  4. Step 4: Simplify right side
    175.40x = 23,305.23
  5. Step 5: Solve for x
    x = 23,305.23/175.40
  6. Step 6: Final answer
    x = 132.87

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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.