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Finding the Fourth Proportional to 201.30, 277.62 and 135.84

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Solution

The fourth proportional to 201.30, 277.62 and 135.84 is: 187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.30 : 277.62 = 135.84 : x
  2. Step 2: Convert to fraction form
    201.30/277.62 = 135.84/x
  3. Step 3: Cross multiply
    201.30x = 277.62 × 135.84
  4. Step 4: Simplify right side
    201.30x = 37,711.90
  5. Step 5: Solve for x
    x = 37,711.90/201.30
  6. Step 6: Final answer
    x = 187.34

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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.