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Finding the Fourth Proportional to 221.90, 305.96 and 188.66

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Solution

The fourth proportional to 221.90, 305.96 and 188.66 is: 260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.90 : 305.96 = 188.66 : x
  2. Step 2: Convert to fraction form
    221.90/305.96 = 188.66/x
  3. Step 3: Cross multiply
    221.90x = 305.96 × 188.66
  4. Step 4: Simplify right side
    221.90x = 57,722.41
  5. Step 5: Solve for x
    x = 57,722.41/221.90
  6. Step 6: Final answer
    x = 260.13

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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.