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Finding the Fourth Proportional to 175.39, 263.14 and 98.33

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Solution

The fourth proportional to 175.39, 263.14 and 98.33 is: 147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.39 : 263.14 = 98.33 : x
  2. Step 2: Convert to fraction form
    175.39/263.14 = 98.33/x
  3. Step 3: Cross multiply
    175.39x = 263.14 × 98.33
  4. Step 4: Simplify right side
    175.39x = 25,872.99
  5. Step 5: Solve for x
    x = 25,872.99/175.39
  6. Step 6: Final answer
    x = 147.52

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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.