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Finding the Fourth Proportional to 374.16, 516.38 and 208.38

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Solution

The fourth proportional to 374.16, 516.38 and 208.38 is: 287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.16 : 516.38 = 208.38 : x
  2. Step 2: Convert to fraction form
    374.16/516.38 = 208.38/x
  3. Step 3: Cross multiply
    374.16x = 516.38 × 208.38
  4. Step 4: Simplify right side
    374.16x = 107,602.22
  5. Step 5: Solve for x
    x = 107,602.22/374.16
  6. Step 6: Final answer
    x = 287.58

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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.