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Finding the Fourth Proportional to 221.59, 305.22 and 210.61

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Solution

The fourth proportional to 221.59, 305.22 and 210.61 is: 290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.59 : 305.22 = 210.61 : x
  2. Step 2: Convert to fraction form
    221.59/305.22 = 210.61/x
  3. Step 3: Cross multiply
    221.59x = 305.22 × 210.61
  4. Step 4: Simplify right side
    221.59x = 64,282.38
  5. Step 5: Solve for x
    x = 64,282.38/221.59
  6. Step 6: Final answer
    x = 290.10

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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.