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Finding the Fourth Proportional to 176.08, 263.97 and 67.95

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Solution

The fourth proportional to 176.08, 263.97 and 67.95 is: 101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.08 : 263.97 = 67.95 : x
  2. Step 2: Convert to fraction form
    176.08/263.97 = 67.95/x
  3. Step 3: Cross multiply
    176.08x = 263.97 × 67.95
  4. Step 4: Simplify right side
    176.08x = 17,936.76
  5. Step 5: Solve for x
    x = 17,936.76/176.08
  6. Step 6: Final answer
    x = 101.87

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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.