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Finding the Fourth Proportional to 201.33, 300.83 and 177.57

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Solution

The fourth proportional to 201.33, 300.83 and 177.57 is: 265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.33 : 300.83 = 177.57 : x
  2. Step 2: Convert to fraction form
    201.33/300.83 = 177.57/x
  3. Step 3: Cross multiply
    201.33x = 300.83 × 177.57
  4. Step 4: Simplify right side
    201.33x = 53,417.50
  5. Step 5: Solve for x
    x = 53,417.50/201.33
  6. Step 6: Final answer
    x = 265.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.