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Finding the Fourth Proportional to 374.00, 516.08 and 208.22

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Solution

The fourth proportional to 374.00, 516.08 and 208.22 is: 287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.00 : 516.08 = 208.22 : x
  2. Step 2: Convert to fraction form
    374.00/516.08 = 208.22/x
  3. Step 3: Cross multiply
    374.00x = 516.08 × 208.22
  4. Step 4: Simplify right side
    374.00x = 107,456.12
  5. Step 5: Solve for x
    x = 107,456.12/374.00
  6. Step 6: Final answer
    x = 287.32

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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.