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Finding the Fourth Proportional to 174.64, 260.94 and 168.59

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Solution

The fourth proportional to 174.64, 260.94 and 168.59 is: 251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.64 : 260.94 = 168.59 : x
  2. Step 2: Convert to fraction form
    174.64/260.94 = 168.59/x
  3. Step 3: Cross multiply
    174.64x = 260.94 × 168.59
  4. Step 4: Simplify right side
    174.64x = 43,990.74
  5. Step 5: Solve for x
    x = 43,990.74/174.64
  6. Step 6: Final answer
    x = 251.89

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Why These Related Problems?

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