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Finding the Fourth Proportional to 213.36, 293.88 and 185.68

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Solution

The fourth proportional to 213.36, 293.88 and 185.68 is: 255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.36 : 293.88 = 185.68 : x
  2. Step 2: Convert to fraction form
    213.36/293.88 = 185.68/x
  3. Step 3: Cross multiply
    213.36x = 293.88 × 185.68
  4. Step 4: Simplify right side
    213.36x = 54,567.64
  5. Step 5: Solve for x
    x = 54,567.64/213.36
  6. Step 6: Final answer
    x = 255.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.