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Finding the Fourth Proportional to 374.02, 516.14 and 208.23

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Solution

The fourth proportional to 374.02, 516.14 and 208.23 is: 287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.02 : 516.14 = 208.23 : x
  2. Step 2: Convert to fraction form
    374.02/516.14 = 208.23/x
  3. Step 3: Cross multiply
    374.02x = 516.14 × 208.23
  4. Step 4: Simplify right side
    374.02x = 107,475.83
  5. Step 5: Solve for x
    x = 107,475.83/374.02
  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.