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Finding the Fourth Proportional to 201.00, 277.32 and 112.48

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Solution

The fourth proportional to 201.00, 277.32 and 112.48 is: 155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.00 : 277.32 = 112.48 : x
  2. Step 2: Convert to fraction form
    201.00/277.32 = 112.48/x
  3. Step 3: Cross multiply
    201.00x = 277.32 × 112.48
  4. Step 4: Simplify right side
    201.00x = 31,192.68
  5. Step 5: Solve for x
    x = 31,192.68/201.00
  6. Step 6: Final answer
    x = 155.19

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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.