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Finding the Fourth Proportional to 213.85, 294.86 and 158.57

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Solution

The fourth proportional to 213.85, 294.86 and 158.57 is: 218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.85 : 294.86 = 158.57 : x
  2. Step 2: Convert to fraction form
    213.85/294.86 = 158.57/x
  3. Step 3: Cross multiply
    213.85x = 294.86 × 158.57
  4. Step 4: Simplify right side
    213.85x = 46,754.87
  5. Step 5: Solve for x
    x = 46,754.87/213.85
  6. Step 6: Final answer
    x = 218.64

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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.