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Finding the Fourth Proportional to 193.59, 292.11 and 186.47

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Solution

The fourth proportional to 193.59, 292.11 and 186.47 is: 281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.59 : 292.11 = 186.47 : x
  2. Step 2: Convert to fraction form
    193.59/292.11 = 186.47/x
  3. Step 3: Cross multiply
    193.59x = 292.11 × 186.47
  4. Step 4: Simplify right side
    193.59x = 54,468.69
  5. Step 5: Solve for x
    x = 54,468.69/193.59
  6. Step 6: Final answer
    x = 281.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.