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Finding the Fourth Proportional to 174.05, 260.28 and 151.58

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Solution

The fourth proportional to 174.05, 260.28 and 151.58 is: 226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.05 : 260.28 = 151.58 : x
  2. Step 2: Convert to fraction form
    174.05/260.28 = 151.58/x
  3. Step 3: Cross multiply
    174.05x = 260.28 × 151.58
  4. Step 4: Simplify right side
    174.05x = 39,451.94
  5. Step 5: Solve for x
    x = 39,451.94/174.05
  6. Step 6: Final answer
    x = 226.68

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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.