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Finding the Fourth Proportional to 200.73, 277.14 and 130.83

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Solution

The fourth proportional to 200.73, 277.14 and 130.83 is: 180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.73 : 277.14 = 130.83 : x
  2. Step 2: Convert to fraction form
    200.73/277.14 = 130.83/x
  3. Step 3: Cross multiply
    200.73x = 277.14 × 130.83
  4. Step 4: Simplify right side
    200.73x = 36,258.23
  5. Step 5: Solve for x
    x = 36,258.23/200.73
  6. Step 6: Final answer
    x = 180.63

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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.