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Finding the Fourth Proportional to 217.07, 324.02 and 188.39

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Solution

The fourth proportional to 217.07, 324.02 and 188.39 is: 281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.07 : 324.02 = 188.39 : x
  2. Step 2: Convert to fraction form
    217.07/324.02 = 188.39/x
  3. Step 3: Cross multiply
    217.07x = 324.02 × 188.39
  4. Step 4: Simplify right side
    217.07x = 61,040.51
  5. Step 5: Solve for x
    x = 61,040.51/217.07
  6. Step 6: Final answer
    x = 281.20

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