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Finding the Fourth Proportional to 373.99, 516.12 and 208.22

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Solution

The fourth proportional to 373.99, 516.12 and 208.22 is: 287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.99 : 516.12 = 208.22 : x
  2. Step 2: Convert to fraction form
    373.99/516.12 = 208.22/x
  3. Step 3: Cross multiply
    373.99x = 516.12 × 208.22
  4. Step 4: Simplify right side
    373.99x = 107,466.51
  5. Step 5: Solve for x
    x = 107,466.51/373.99
  6. Step 6: Final answer
    x = 287.35

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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.