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Finding the Fourth Proportional to 193.14, 288.36 and 170.46

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Solution

The fourth proportional to 193.14, 288.36 and 170.46 is: 254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 288.36 = 170.46 : x
  2. Step 2: Convert to fraction form
    193.14/288.36 = 170.46/x
  3. Step 3: Cross multiply
    193.14x = 288.36 × 170.46
  4. Step 4: Simplify right side
    193.14x = 49,153.85
  5. Step 5: Solve for x
    x = 49,153.85/193.14
  6. Step 6: Final answer
    x = 254.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.