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Finding the Fourth Proportional to 251.28, 346.32 and 193.20

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Solution

The fourth proportional to 251.28, 346.32 and 193.20 is: 266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.28 : 346.32 = 193.20 : x
  2. Step 2: Convert to fraction form
    251.28/346.32 = 193.20/x
  3. Step 3: Cross multiply
    251.28x = 346.32 × 193.20
  4. Step 4: Simplify right side
    251.28x = 66,909.02
  5. Step 5: Solve for x
    x = 66,909.02/251.28
  6. Step 6: Final answer
    x = 266.27

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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.