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Finding the Fourth Proportional to 200.78, 277.02 and 123.14

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Solution

The fourth proportional to 200.78, 277.02 and 123.14 is: 169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.78 : 277.02 = 123.14 : x
  2. Step 2: Convert to fraction form
    200.78/277.02 = 123.14/x
  3. Step 3: Cross multiply
    200.78x = 277.02 × 123.14
  4. Step 4: Simplify right side
    200.78x = 34,112.24
  5. Step 5: Solve for x
    x = 34,112.24/200.78
  6. Step 6: Final answer
    x = 169.90

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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.