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Finding the Fourth Proportional to 201.32, 277.82 and 123.69

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Solution

The fourth proportional to 201.32, 277.82 and 123.69 is: 170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.32 : 277.82 = 123.69 : x
  2. Step 2: Convert to fraction form
    201.32/277.82 = 123.69/x
  3. Step 3: Cross multiply
    201.32x = 277.82 × 123.69
  4. Step 4: Simplify right side
    201.32x = 34,362.94
  5. Step 5: Solve for x
    x = 34,362.94/201.32
  6. Step 6: Final answer
    x = 170.69

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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.