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Finding the Fourth Proportional to 203.81, 304.07 and 194.79

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Solution

The fourth proportional to 203.81, 304.07 and 194.79 is: 290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.81 : 304.07 = 194.79 : x
  2. Step 2: Convert to fraction form
    203.81/304.07 = 194.79/x
  3. Step 3: Cross multiply
    203.81x = 304.07 × 194.79
  4. Step 4: Simplify right side
    203.81x = 59,228.82
  5. Step 5: Solve for x
    x = 59,228.82/203.81
  6. Step 6: Final answer
    x = 290.62

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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.