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Finding the Fourth Proportional to 203.67, 305.14 and 106.06

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Solution

The fourth proportional to 203.67, 305.14 and 106.06 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.67 : 305.14 = 106.06 : x
  2. Step 2: Convert to fraction form
    203.67/305.14 = 106.06/x
  3. Step 3: Cross multiply
    203.67x = 305.14 × 106.06
  4. Step 4: Simplify right side
    203.67x = 32,363.15
  5. Step 5: Solve for x
    x = 32,363.15/203.67
  6. Step 6: Final answer
    x = 158.90

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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.