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Finding the Fourth Proportional to 343.70, 515.64 and 100.22

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Solution

The fourth proportional to 343.70, 515.64 and 100.22 is: 150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.70 : 515.64 = 100.22 : x
  2. Step 2: Convert to fraction form
    343.70/515.64 = 100.22/x
  3. Step 3: Cross multiply
    343.70x = 515.64 × 100.22
  4. Step 4: Simplify right side
    343.70x = 51,677.44
  5. Step 5: Solve for x
    x = 51,677.44/343.70
  6. Step 6: Final answer
    x = 150.36

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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.