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Finding the Fourth Proportional to 219.85, 303 and 164.57

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Solution

The fourth proportional to 219.85, 303 and 164.57 is: 226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.85 : 303 = 164.57 : x
  2. Step 2: Convert to fraction form
    219.85/303 = 164.57/x
  3. Step 3: Cross multiply
    219.85x = 303 × 164.57
  4. Step 4: Simplify right side
    219.85x = 49,864.71
  5. Step 5: Solve for x
    x = 49,864.71/219.85
  6. Step 6: Final answer
    x = 226.81

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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.