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Finding the Fourth Proportional to 218.57, 329.79 and 210.12

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Solution

The fourth proportional to 218.57, 329.79 and 210.12 is: 317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.57 : 329.79 = 210.12 : x
  2. Step 2: Convert to fraction form
    218.57/329.79 = 210.12/x
  3. Step 3: Cross multiply
    218.57x = 329.79 × 210.12
  4. Step 4: Simplify right side
    218.57x = 69,295.47
  5. Step 5: Solve for x
    x = 69,295.47/218.57
  6. Step 6: Final answer
    x = 317.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.