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Finding the Fourth Proportional to 201.04, 277.96 and 183.76

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Solution

The fourth proportional to 201.04, 277.96 and 183.76 is: 254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.04 : 277.96 = 183.76 : x
  2. Step 2: Convert to fraction form
    201.04/277.96 = 183.76/x
  3. Step 3: Cross multiply
    201.04x = 277.96 × 183.76
  4. Step 4: Simplify right side
    201.04x = 51,077.93
  5. Step 5: Solve for x
    x = 51,077.93/201.04
  6. Step 6: Final answer
    x = 254.07

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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.