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Finding the Fourth Proportional to 211.15, 314.59 and 200.82

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Solution

The fourth proportional to 211.15, 314.59 and 200.82 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.15 : 314.59 = 200.82 : x
  2. Step 2: Convert to fraction form
    211.15/314.59 = 200.82/x
  3. Step 3: Cross multiply
    211.15x = 314.59 × 200.82
  4. Step 4: Simplify right side
    211.15x = 63,175.46
  5. Step 5: Solve for x
    x = 63,175.46/211.15
  6. Step 6: Final answer
    x = 299.20

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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.