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Finding the Fourth Proportional to 201.54, 277.80 and 170.76

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Solution

The fourth proportional to 201.54, 277.80 and 170.76 is: 235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.54 : 277.80 = 170.76 : x
  2. Step 2: Convert to fraction form
    201.54/277.80 = 170.76/x
  3. Step 3: Cross multiply
    201.54x = 277.80 × 170.76
  4. Step 4: Simplify right side
    201.54x = 47,437.13
  5. Step 5: Solve for x
    x = 47,437.13/201.54
  6. Step 6: Final answer
    x = 235.37

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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.