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Finding the Fourth Proportional to 167.90, 251.52 and 146.30

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Solution

The fourth proportional to 167.90, 251.52 and 146.30 is: 219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.90 : 251.52 = 146.30 : x
  2. Step 2: Convert to fraction form
    167.90/251.52 = 146.30/x
  3. Step 3: Cross multiply
    167.90x = 251.52 × 146.30
  4. Step 4: Simplify right side
    167.90x = 36,796.12
  5. Step 5: Solve for x
    x = 36,796.12/167.90
  6. Step 6: Final answer
    x = 219.16

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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.