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Finding the Fourth Proportional to 193.22, 266.90 and 156.82

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Solution

The fourth proportional to 193.22, 266.90 and 156.82 is: 216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.22 : 266.90 = 156.82 : x
  2. Step 2: Convert to fraction form
    193.22/266.90 = 156.82/x
  3. Step 3: Cross multiply
    193.22x = 266.90 × 156.82
  4. Step 4: Simplify right side
    193.22x = 41,855.26
  5. Step 5: Solve for x
    x = 41,855.26/193.22
  6. Step 6: Final answer
    x = 216.62

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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.