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Finding the Fourth Proportional to 193.73, 266.15 and 156.77

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Solution

The fourth proportional to 193.73, 266.15 and 156.77 is: 215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.73 : 266.15 = 156.77 : x
  2. Step 2: Convert to fraction form
    193.73/266.15 = 156.77/x
  3. Step 3: Cross multiply
    193.73x = 266.15 × 156.77
  4. Step 4: Simplify right side
    193.73x = 41,724.39
  5. Step 5: Solve for x
    x = 41,724.39/193.73
  6. Step 6: Final answer
    x = 215.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.