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Finding the Fourth Proportional to 174.52, 263.01 and 164.26

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Solution

The fourth proportional to 174.52, 263.01 and 164.26 is: 247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.52 : 263.01 = 164.26 : x
  2. Step 2: Convert to fraction form
    174.52/263.01 = 164.26/x
  3. Step 3: Cross multiply
    174.52x = 263.01 × 164.26
  4. Step 4: Simplify right side
    174.52x = 43,200.71
  5. Step 5: Solve for x
    x = 43,200.71/174.52
  6. Step 6: Final answer
    x = 247.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.