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Finding the Fourth Proportional to 175.74, 263.52 and 79.50

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Solution

The fourth proportional to 175.74, 263.52 and 79.50 is: 119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.74 : 263.52 = 79.50 : x
  2. Step 2: Convert to fraction form
    175.74/263.52 = 79.50/x
  3. Step 3: Cross multiply
    175.74x = 263.52 × 79.50
  4. Step 4: Simplify right side
    175.74x = 20,949.84
  5. Step 5: Solve for x
    x = 20,949.84/175.74
  6. Step 6: Final answer
    x = 119.21

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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.