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Finding the Fourth Proportional to 193.20, 288.71 and 139.20

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Solution

The fourth proportional to 193.20, 288.71 and 139.20 is: 208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.20 : 288.71 = 139.20 : x
  2. Step 2: Convert to fraction form
    193.20/288.71 = 139.20/x
  3. Step 3: Cross multiply
    193.20x = 288.71 × 139.20
  4. Step 4: Simplify right side
    193.20x = 40,187.74
  5. Step 5: Solve for x
    x = 40,187.74/193.20
  6. Step 6: Final answer
    x = 208.01

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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.