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Finding the Fourth Proportional to 221.66, 305.52 and 186.56

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Solution

The fourth proportional to 221.66, 305.52 and 186.56 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.66 : 305.52 = 186.56 : x
  2. Step 2: Convert to fraction form
    221.66/305.52 = 186.56/x
  3. Step 3: Cross multiply
    221.66x = 305.52 × 186.56
  4. Step 4: Simplify right side
    221.66x = 56,997.81
  5. Step 5: Solve for x
    x = 56,997.81/221.66
  6. Step 6: Final answer
    x = 257.14

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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.