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Finding the Fourth Proportional to 167.25, 251.02 and 90.28

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Solution

The fourth proportional to 167.25, 251.02 and 90.28 is: 135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.25 : 251.02 = 90.28 : x
  2. Step 2: Convert to fraction form
    167.25/251.02 = 90.28/x
  3. Step 3: Cross multiply
    167.25x = 251.02 × 90.28
  4. Step 4: Simplify right side
    167.25x = 22,662.51
  5. Step 5: Solve for x
    x = 22,662.51/167.25
  6. Step 6: Final answer
    x = 135.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.