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Finding the Fourth Proportional to 201.52, 277.48 and 176.82

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Solution

The fourth proportional to 201.52, 277.48 and 176.82 is: 243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.52 : 277.48 = 176.82 : x
  2. Step 2: Convert to fraction form
    201.52/277.48 = 176.82/x
  3. Step 3: Cross multiply
    201.52x = 277.48 × 176.82
  4. Step 4: Simplify right side
    201.52x = 49,064.01
  5. Step 5: Solve for x
    x = 49,064.01/201.52
  6. Step 6: Final answer
    x = 243.47

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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.