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Finding the Fourth Proportional to 217.64, 324.90 and 210.04

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Solution

The fourth proportional to 217.64, 324.90 and 210.04 is: 313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.64 : 324.90 = 210.04 : x
  2. Step 2: Convert to fraction form
    217.64/324.90 = 210.04/x
  3. Step 3: Cross multiply
    217.64x = 324.90 × 210.04
  4. Step 4: Simplify right side
    217.64x = 68,243.01
  5. Step 5: Solve for x
    x = 68,243.01/217.64
  6. Step 6: Final answer
    x = 313.56

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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.