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Finding the Fourth Proportional to 221.62, 305.93 and 148.05

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Solution

The fourth proportional to 221.62, 305.93 and 148.05 is: 204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.62 : 305.93 = 148.05 : x
  2. Step 2: Convert to fraction form
    221.62/305.93 = 148.05/x
  3. Step 3: Cross multiply
    221.62x = 305.93 × 148.05
  4. Step 4: Simplify right side
    221.62x = 45,292.94
  5. Step 5: Solve for x
    x = 45,292.94/221.62
  6. Step 6: Final answer
    x = 204.37

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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.