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Finding the Fourth Proportional to 344.02, 516.07 and 135.78

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Solution

The fourth proportional to 344.02, 516.07 and 135.78 is: 203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.02 : 516.07 = 135.78 : x
  2. Step 2: Convert to fraction form
    344.02/516.07 = 135.78/x
  3. Step 3: Cross multiply
    344.02x = 516.07 × 135.78
  4. Step 4: Simplify right side
    344.02x = 70,070.22
  5. Step 5: Solve for x
    x = 70,070.22/344.02
  6. Step 6: Final answer
    x = 203.68

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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.