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Finding the Fourth Proportional to 174.09, 259.41 and 154.95

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Solution

The fourth proportional to 174.09, 259.41 and 154.95 is: 230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.09 : 259.41 = 154.95 : x
  2. Step 2: Convert to fraction form
    174.09/259.41 = 154.95/x
  3. Step 3: Cross multiply
    174.09x = 259.41 × 154.95
  4. Step 4: Simplify right side
    174.09x = 40,195.58
  5. Step 5: Solve for x
    x = 40,195.58/174.09
  6. Step 6: Final answer
    x = 230.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.