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Finding the Fourth Proportional to 221.36, 332.15 and 149.06

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Solution

The fourth proportional to 221.36, 332.15 and 149.06 is: 223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.36 : 332.15 = 149.06 : x
  2. Step 2: Convert to fraction form
    221.36/332.15 = 149.06/x
  3. Step 3: Cross multiply
    221.36x = 332.15 × 149.06
  4. Step 4: Simplify right side
    221.36x = 49,510.36
  5. Step 5: Solve for x
    x = 49,510.36/221.36
  6. Step 6: Final answer
    x = 223.67

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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.