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Finding the Fourth Proportional to 201.10, 277.09 and 154.47

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Solution

The fourth proportional to 201.10, 277.09 and 154.47 is: 212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.10 : 277.09 = 154.47 : x
  2. Step 2: Convert to fraction form
    201.10/277.09 = 154.47/x
  3. Step 3: Cross multiply
    201.10x = 277.09 × 154.47
  4. Step 4: Simplify right side
    201.10x = 42,802.09
  5. Step 5: Solve for x
    x = 42,802.09/201.10
  6. Step 6: Final answer
    x = 212.84

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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.