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Finding the Fourth Proportional to 211.13, 314.97 and 208.40

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Solution

The fourth proportional to 211.13, 314.97 and 208.40 is: 310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.13 : 314.97 = 208.40 : x
  2. Step 2: Convert to fraction form
    211.13/314.97 = 208.40/x
  3. Step 3: Cross multiply
    211.13x = 314.97 × 208.40
  4. Step 4: Simplify right side
    211.13x = 65,639.75
  5. Step 5: Solve for x
    x = 65,639.75/211.13
  6. Step 6: Final answer
    x = 310.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.