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Finding the Fourth Proportional to 201.32, 277.82 and 112.80

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Solution

The fourth proportional to 201.32, 277.82 and 112.80 is: 155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.32 : 277.82 = 112.80 : x
  2. Step 2: Convert to fraction form
    201.32/277.82 = 112.80/x
  3. Step 3: Cross multiply
    201.32x = 277.82 × 112.80
  4. Step 4: Simplify right side
    201.32x = 31,338.10
  5. Step 5: Solve for x
    x = 31,338.10/201.32
  6. Step 6: Final answer
    x = 155.66

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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.