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Finding the Fourth Proportional to 203.44, 305.10 and 66.46

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Solution

The fourth proportional to 203.44, 305.10 and 66.46 is: 99.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.44 : 305.10 = 66.46 : x
  2. Step 2: Convert to fraction form
    203.44/305.10 = 66.46/x
  3. Step 3: Cross multiply
    203.44x = 305.10 × 66.46
  4. Step 4: Simplify right side
    203.44x = 20,275.85
  5. Step 5: Solve for x
    x = 20,275.85/203.44
  6. Step 6: Final answer
    x = 99.67

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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.