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Finding the Fourth Proportional to 203.22, 302.81 and 193.42

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Solution

The fourth proportional to 203.22, 302.81 and 193.42 is: 288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.22 : 302.81 = 193.42 : x
  2. Step 2: Convert to fraction form
    203.22/302.81 = 193.42/x
  3. Step 3: Cross multiply
    203.22x = 302.81 × 193.42
  4. Step 4: Simplify right side
    203.22x = 58,569.51
  5. Step 5: Solve for x
    x = 58,569.51/203.22
  6. Step 6: Final answer
    x = 288.21

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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.