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Finding the Fourth Proportional to 201.16, 277.05 and 180.52

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Solution

The fourth proportional to 201.16, 277.05 and 180.52 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.16 : 277.05 = 180.52 : x
  2. Step 2: Convert to fraction form
    201.16/277.05 = 180.52/x
  3. Step 3: Cross multiply
    201.16x = 277.05 × 180.52
  4. Step 4: Simplify right side
    201.16x = 50,013.07
  5. Step 5: Solve for x
    x = 50,013.07/201.16
  6. Step 6: Final answer
    x = 248.62

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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.