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Finding the Fourth Proportional to 174.45, 260.61 and 135.84

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Solution

The fourth proportional to 174.45, 260.61 and 135.84 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.45 : 260.61 = 135.84 : x
  2. Step 2: Convert to fraction form
    174.45/260.61 = 135.84/x
  3. Step 3: Cross multiply
    174.45x = 260.61 × 135.84
  4. Step 4: Simplify right side
    174.45x = 35,401.26
  5. Step 5: Solve for x
    x = 35,401.26/174.45
  6. Step 6: Final answer
    x = 202.93

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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.