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Finding the Fourth Proportional to 167.75, 252.91 and 156.01

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Solution

The fourth proportional to 167.75, 252.91 and 156.01 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.75 : 252.91 = 156.01 : x
  2. Step 2: Convert to fraction form
    167.75/252.91 = 156.01/x
  3. Step 3: Cross multiply
    167.75x = 252.91 × 156.01
  4. Step 4: Simplify right side
    167.75x = 39,455.71
  5. Step 5: Solve for x
    x = 39,455.71/167.75
  6. Step 6: Final answer
    x = 235.21

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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.