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Finding the Fourth Proportional to 175.68, 263.46 and 78.24

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Solution

The fourth proportional to 175.68, 263.46 and 78.24 is: 117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.68 : 263.46 = 78.24 : x
  2. Step 2: Convert to fraction form
    175.68/263.46 = 78.24/x
  3. Step 3: Cross multiply
    175.68x = 263.46 × 78.24
  4. Step 4: Simplify right side
    175.68x = 20,613.11
  5. Step 5: Solve for x
    x = 20,613.11/175.68
  6. Step 6: Final answer
    x = 117.33

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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.