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Finding the Fourth Proportional to 251.12, 346.34 and 192.20

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Solution

The fourth proportional to 251.12, 346.34 and 192.20 is: 265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.12 : 346.34 = 192.20 : x
  2. Step 2: Convert to fraction form
    251.12/346.34 = 192.20/x
  3. Step 3: Cross multiply
    251.12x = 346.34 × 192.20
  4. Step 4: Simplify right side
    251.12x = 66,565.30
  5. Step 5: Solve for x
    x = 66,565.30/251.12
  6. Step 6: Final answer
    x = 265.07

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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.