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Finding the Fourth Proportional to 203.84, 305.81 and 117.21

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Solution

The fourth proportional to 203.84, 305.81 and 117.21 is: 175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.84 : 305.81 = 117.21 : x
  2. Step 2: Convert to fraction form
    203.84/305.81 = 117.21/x
  3. Step 3: Cross multiply
    203.84x = 305.81 × 117.21
  4. Step 4: Simplify right side
    203.84x = 35,843.40
  5. Step 5: Solve for x
    x = 35,843.40/203.84
  6. Step 6: Final answer
    x = 175.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.