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Finding the Fourth Proportional to 193.91, 267.65 and 154.64

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Solution

The fourth proportional to 193.91, 267.65 and 154.64 is: 213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.91 : 267.65 = 154.64 : x
  2. Step 2: Convert to fraction form
    193.91/267.65 = 154.64/x
  3. Step 3: Cross multiply
    193.91x = 267.65 × 154.64
  4. Step 4: Simplify right side
    193.91x = 41,388.06
  5. Step 5: Solve for x
    x = 41,388.06/193.91
  6. Step 6: Final answer
    x = 213.45

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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.