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Finding the Fourth Proportional to 175.80, 263.33 and 103.62

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Solution

The fourth proportional to 175.80, 263.33 and 103.62 is: 155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.80 : 263.33 = 103.62 : x
  2. Step 2: Convert to fraction form
    175.80/263.33 = 103.62/x
  3. Step 3: Cross multiply
    175.80x = 263.33 × 103.62
  4. Step 4: Simplify right side
    175.80x = 27,286.25
  5. Step 5: Solve for x
    x = 27,286.25/175.80
  6. Step 6: Final answer
    x = 155.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.