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Finding the Fourth Proportional to 251.49, 347.10 and 189.63

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Solution

The fourth proportional to 251.49, 347.10 and 189.63 is: 261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.49 : 347.10 = 189.63 : x
  2. Step 2: Convert to fraction form
    251.49/347.10 = 189.63/x
  3. Step 3: Cross multiply
    251.49x = 347.10 × 189.63
  4. Step 4: Simplify right side
    251.49x = 65,820.57
  5. Step 5: Solve for x
    x = 65,820.57/251.49
  6. Step 6: Final answer
    x = 261.72

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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.