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Finding the Fourth Proportional to 212.98, 318.21 and 157.90

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Solution

The fourth proportional to 212.98, 318.21 and 157.90 is: 235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.98 : 318.21 = 157.90 : x
  2. Step 2: Convert to fraction form
    212.98/318.21 = 157.90/x
  3. Step 3: Cross multiply
    212.98x = 318.21 × 157.90
  4. Step 4: Simplify right side
    212.98x = 50,245.36
  5. Step 5: Solve for x
    x = 50,245.36/212.98
  6. Step 6: Final answer
    x = 235.92

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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.