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Finding the Fourth Proportional to 174.23, 260.06 and 159.80

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Solution

The fourth proportional to 174.23, 260.06 and 159.80 is: 238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.23 : 260.06 = 159.80 : x
  2. Step 2: Convert to fraction form
    174.23/260.06 = 159.80/x
  3. Step 3: Cross multiply
    174.23x = 260.06 × 159.80
  4. Step 4: Simplify right side
    174.23x = 41,557.59
  5. Step 5: Solve for x
    x = 41,557.59/174.23
  6. Step 6: Final answer
    x = 238.52

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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.