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Finding the Fourth Proportional to 203.35, 305.07 and 66.40

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Solution

The fourth proportional to 203.35, 305.07 and 66.40 is: 99.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.35 : 305.07 = 66.40 : x
  2. Step 2: Convert to fraction form
    203.35/305.07 = 66.40/x
  3. Step 3: Cross multiply
    203.35x = 305.07 × 66.40
  4. Step 4: Simplify right side
    203.35x = 20,256.65
  5. Step 5: Solve for x
    x = 20,256.65/203.35
  6. Step 6: Final answer
    x = 99.61

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