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Finding the Fourth Proportional to 174.95, 263.73 and 150.76

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Solution

The fourth proportional to 174.95, 263.73 and 150.76 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.95 : 263.73 = 150.76 : x
  2. Step 2: Convert to fraction form
    174.95/263.73 = 150.76/x
  3. Step 3: Cross multiply
    174.95x = 263.73 × 150.76
  4. Step 4: Simplify right side
    174.95x = 39,759.28
  5. Step 5: Solve for x
    x = 39,759.28/174.95
  6. Step 6: Final answer
    x = 227.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.