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Finding the Fourth Proportional to 210.87, 318.06 and 208.44

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Solution

The fourth proportional to 210.87, 318.06 and 208.44 is: 314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.87 : 318.06 = 208.44 : x
  2. Step 2: Convert to fraction form
    210.87/318.06 = 208.44/x
  3. Step 3: Cross multiply
    210.87x = 318.06 × 208.44
  4. Step 4: Simplify right side
    210.87x = 66,296.43
  5. Step 5: Solve for x
    x = 66,296.43/210.87
  6. Step 6: Final answer
    x = 314.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.