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Finding the Fourth Proportional to 343.54, 515.22 and 100

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Solution

The fourth proportional to 343.54, 515.22 and 100 is: 149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.54 : 515.22 = 100 : x
  2. Step 2: Convert to fraction form
    343.54/515.22 = 100/x
  3. Step 3: Cross multiply
    343.54x = 515.22 × 100
  4. Step 4: Simplify right side
    343.54x = 51,522
  5. Step 5: Solve for x
    x = 51,522/343.54
  6. Step 6: Final answer
    x = 149.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.