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Finding the Fourth Proportional to 251.85, 347.67 and 153.75

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Solution

The fourth proportional to 251.85, 347.67 and 153.75 is: 212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.85 : 347.67 = 153.75 : x
  2. Step 2: Convert to fraction form
    251.85/347.67 = 153.75/x
  3. Step 3: Cross multiply
    251.85x = 347.67 × 153.75
  4. Step 4: Simplify right side
    251.85x = 53,454.26
  5. Step 5: Solve for x
    x = 53,454.26/251.85
  6. Step 6: Final answer
    x = 212.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.