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Finding the Fourth Proportional to 193.17, 265.91 and 178.59

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Solution

The fourth proportional to 193.17, 265.91 and 178.59 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.17 : 265.91 = 178.59 : x
  2. Step 2: Convert to fraction form
    193.17/265.91 = 178.59/x
  3. Step 3: Cross multiply
    193.17x = 265.91 × 178.59
  4. Step 4: Simplify right side
    193.17x = 47,487.97
  5. Step 5: Solve for x
    x = 47,487.97/193.17
  6. Step 6: Final answer
    x = 245.84

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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.