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Finding the Fourth Proportional to 251.98, 347.74 and 147.14

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Solution

The fourth proportional to 251.98, 347.74 and 147.14 is: 203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.98 : 347.74 = 147.14 : x
  2. Step 2: Convert to fraction form
    251.98/347.74 = 147.14/x
  3. Step 3: Cross multiply
    251.98x = 347.74 × 147.14
  4. Step 4: Simplify right side
    251.98x = 51,166.97
  5. Step 5: Solve for x
    x = 51,166.97/251.98
  6. Step 6: Final answer
    x = 203.06

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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.