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Finding the Fourth Proportional to 201.20, 277.74 and 152.09

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Solution

The fourth proportional to 201.20, 277.74 and 152.09 is: 209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.20 : 277.74 = 152.09 : x
  2. Step 2: Convert to fraction form
    201.20/277.74 = 152.09/x
  3. Step 3: Cross multiply
    201.20x = 277.74 × 152.09
  4. Step 4: Simplify right side
    201.20x = 42,241.48
  5. Step 5: Solve for x
    x = 42,241.48/201.20
  6. Step 6: Final answer
    x = 209.95

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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.