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Finding the Fourth Proportional to 175.32, 263.22 and 117.36

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Solution

The fourth proportional to 175.32, 263.22 and 117.36 is: 176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.32 : 263.22 = 117.36 : x
  2. Step 2: Convert to fraction form
    175.32/263.22 = 117.36/x
  3. Step 3: Cross multiply
    175.32x = 263.22 × 117.36
  4. Step 4: Simplify right side
    175.32x = 30,891.50
  5. Step 5: Solve for x
    x = 30,891.50/175.32
  6. Step 6: Final answer
    x = 176.20

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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.