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Finding the Fourth Proportional to 251.70, 353.10 and 251.70

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Solution

The fourth proportional to 251.70, 353.10 and 251.70 is: 353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.70 : 353.10 = 251.70 : x
  2. Step 2: Convert to fraction form
    251.70/353.10 = 251.70/x
  3. Step 3: Cross multiply
    251.70x = 353.10 × 251.70
  4. Step 4: Simplify right side
    251.70x = 88,875.27
  5. Step 5: Solve for x
    x = 88,875.27/251.70
  6. Step 6: Final answer
    x = 353.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.