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Finding the Fourth Proportional to 219.84, 302.90 and 164.56

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Solution

The fourth proportional to 219.84, 302.90 and 164.56 is: 226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.84 : 302.90 = 164.56 : x
  2. Step 2: Convert to fraction form
    219.84/302.90 = 164.56/x
  3. Step 3: Cross multiply
    219.84x = 302.90 × 164.56
  4. Step 4: Simplify right side
    219.84x = 49,845.22
  5. Step 5: Solve for x
    x = 49,845.22/219.84
  6. Step 6: Final answer
    x = 226.73

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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.