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Finding the Fourth Proportional to 251.61, 347.11 and 153.33

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Solution

The fourth proportional to 251.61, 347.11 and 153.33 is: 211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.61 : 347.11 = 153.33 : x
  2. Step 2: Convert to fraction form
    251.61/347.11 = 153.33/x
  3. Step 3: Cross multiply
    251.61x = 347.11 × 153.33
  4. Step 4: Simplify right side
    251.61x = 53,220.83
  5. Step 5: Solve for x
    x = 53,220.83/251.61
  6. Step 6: Final answer
    x = 211.53

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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.