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Finding the Fourth Proportional to 221.92, 306.40 and 148.24

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Solution

The fourth proportional to 221.92, 306.40 and 148.24 is: 204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.92 : 306.40 = 148.24 : x
  2. Step 2: Convert to fraction form
    221.92/306.40 = 148.24/x
  3. Step 3: Cross multiply
    221.92x = 306.40 × 148.24
  4. Step 4: Simplify right side
    221.92x = 45,420.74
  5. Step 5: Solve for x
    x = 45,420.74/221.92
  6. Step 6: Final answer
    x = 204.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.