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Finding the Fourth Proportional to 200.76, 277.12 and 123.14

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Solution

The fourth proportional to 200.76, 277.12 and 123.14 is: 169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.76 : 277.12 = 123.14 : x
  2. Step 2: Convert to fraction form
    200.76/277.12 = 123.14/x
  3. Step 3: Cross multiply
    200.76x = 277.12 × 123.14
  4. Step 4: Simplify right side
    200.76x = 34,124.56
  5. Step 5: Solve for x
    x = 34,124.56/200.76
  6. Step 6: Final answer
    x = 169.98

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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.