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Finding the Fourth Proportional to 174, 240.05 and 100.26

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Solution

The fourth proportional to 174, 240.05 and 100.26 is: 138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 240.05 = 100.26 : x
  2. Step 2: Convert to fraction form
    174/240.05 = 100.26/x
  3. Step 3: Cross multiply
    174x = 240.05 × 100.26
  4. Step 4: Simplify right side
    174x = 24,067.41
  5. Step 5: Solve for x
    x = 24,067.41/174
  6. Step 6: Final answer
    x = 138.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.