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Finding the Fourth Proportional to 220.66, 304.22 and 185.74

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Solution

The fourth proportional to 220.66, 304.22 and 185.74 is: 256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.66 : 304.22 = 185.74 : x
  2. Step 2: Convert to fraction form
    220.66/304.22 = 185.74/x
  3. Step 3: Cross multiply
    220.66x = 304.22 × 185.74
  4. Step 4: Simplify right side
    220.66x = 56,505.82
  5. Step 5: Solve for x
    x = 56,505.82/220.66
  6. Step 6: Final answer
    x = 256.08

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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.