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Finding the Fourth Proportional to 217.07, 324.82 and 202.58

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Solution

The fourth proportional to 217.07, 324.82 and 202.58 is: 303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.07 : 324.82 = 202.58 : x
  2. Step 2: Convert to fraction form
    217.07/324.82 = 202.58/x
  3. Step 3: Cross multiply
    217.07x = 324.82 × 202.58
  4. Step 4: Simplify right side
    217.07x = 65,802.04
  5. Step 5: Solve for x
    x = 65,802.04/217.07
  6. Step 6: Final answer
    x = 303.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.