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Finding the Fourth Proportional to 374.66, 516.98 and 208.85

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Solution

The fourth proportional to 374.66, 516.98 and 208.85 is: 288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.66 : 516.98 = 208.85 : x
  2. Step 2: Convert to fraction form
    374.66/516.98 = 208.85/x
  3. Step 3: Cross multiply
    374.66x = 516.98 × 208.85
  4. Step 4: Simplify right side
    374.66x = 107,967.64
  5. Step 5: Solve for x
    x = 107,967.64/374.66
  6. Step 6: Final answer
    x = 288.18

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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.