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Finding the Fourth Proportional to 251.70, 347.13 and 210.14

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Solution

The fourth proportional to 251.70, 347.13 and 210.14 is: 289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.70 : 347.13 = 210.14 : x
  2. Step 2: Convert to fraction form
    251.70/347.13 = 210.14/x
  3. Step 3: Cross multiply
    251.70x = 347.13 × 210.14
  4. Step 4: Simplify right side
    251.70x = 72,945.90
  5. Step 5: Solve for x
    x = 72,945.90/251.70
  6. Step 6: Final answer
    x = 289.81

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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.