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Finding the Fourth Proportional to 193.23, 266.45 and 137.95

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Solution

The fourth proportional to 193.23, 266.45 and 137.95 is: 190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.23 : 266.45 = 137.95 : x
  2. Step 2: Convert to fraction form
    193.23/266.45 = 137.95/x
  3. Step 3: Cross multiply
    193.23x = 266.45 × 137.95
  4. Step 4: Simplify right side
    193.23x = 36,756.46
  5. Step 5: Solve for x
    x = 36,756.46/193.23
  6. Step 6: Final answer
    x = 190.22

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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.