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Finding the Fourth Proportional to 219.24, 326.70 and 210.24

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Solution

The fourth proportional to 219.24, 326.70 and 210.24 is: 313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.24 : 326.70 = 210.24 : x
  2. Step 2: Convert to fraction form
    219.24/326.70 = 210.24/x
  3. Step 3: Cross multiply
    219.24x = 326.70 × 210.24
  4. Step 4: Simplify right side
    219.24x = 68,685.41
  5. Step 5: Solve for x
    x = 68,685.41/219.24
  6. Step 6: Final answer
    x = 313.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.