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Finding the Fourth Proportional to 200.83, 277.04 and 154.14

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Solution

The fourth proportional to 200.83, 277.04 and 154.14 is: 212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.83 : 277.04 = 154.14 : x
  2. Step 2: Convert to fraction form
    200.83/277.04 = 154.14/x
  3. Step 3: Cross multiply
    200.83x = 277.04 × 154.14
  4. Step 4: Simplify right side
    200.83x = 42,701.43
  5. Step 5: Solve for x
    x = 42,701.43/200.83
  6. Step 6: Final answer
    x = 212.63

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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.