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Finding the Fourth Proportional to 344.04, 516.12 and 149.16

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Solution

The fourth proportional to 344.04, 516.12 and 149.16 is: 223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.04 : 516.12 = 149.16 : x
  2. Step 2: Convert to fraction form
    344.04/516.12 = 149.16/x
  3. Step 3: Cross multiply
    344.04x = 516.12 × 149.16
  4. Step 4: Simplify right side
    344.04x = 76,984.46
  5. Step 5: Solve for x
    x = 76,984.46/344.04
  6. Step 6: Final answer
    x = 223.77

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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.