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Finding the Fourth Proportional to 174.34, 260.74 and 135.37

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Solution

The fourth proportional to 174.34, 260.74 and 135.37 is: 202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.34 : 260.74 = 135.37 : x
  2. Step 2: Convert to fraction form
    174.34/260.74 = 135.37/x
  3. Step 3: Cross multiply
    174.34x = 260.74 × 135.37
  4. Step 4: Simplify right side
    174.34x = 35,296.37
  5. Step 5: Solve for x
    x = 35,296.37/174.34
  6. Step 6: Final answer
    x = 202.46

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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.