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Finding the Fourth Proportional to 213.64, 294.66 and 151.41

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Solution

The fourth proportional to 213.64, 294.66 and 151.41 is: 208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.64 : 294.66 = 151.41 : x
  2. Step 2: Convert to fraction form
    213.64/294.66 = 151.41/x
  3. Step 3: Cross multiply
    213.64x = 294.66 × 151.41
  4. Step 4: Simplify right side
    213.64x = 44,614.47
  5. Step 5: Solve for x
    x = 44,614.47/213.64
  6. Step 6: Final answer
    x = 208.83

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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.