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Finding the Fourth Proportional to 221.57, 305.65 and 138.52

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Solution

The fourth proportional to 221.57, 305.65 and 138.52 is: 191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.57 : 305.65 = 138.52 : x
  2. Step 2: Convert to fraction form
    221.57/305.65 = 138.52/x
  3. Step 3: Cross multiply
    221.57x = 305.65 × 138.52
  4. Step 4: Simplify right side
    221.57x = 42,339.19
  5. Step 5: Solve for x
    x = 42,339.19/221.57
  6. Step 6: Final answer
    x = 191.09

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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.