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Finding the Fourth Proportional to 211.57, 317.24 and 107.35

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Solution

The fourth proportional to 211.57, 317.24 and 107.35 is: 160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.57 : 317.24 = 107.35 : x
  2. Step 2: Convert to fraction form
    211.57/317.24 = 107.35/x
  3. Step 3: Cross multiply
    211.57x = 317.24 × 107.35
  4. Step 4: Simplify right side
    211.57x = 34,055.98
  5. Step 5: Solve for x
    x = 34,055.98/211.57
  6. Step 6: Final answer
    x = 160.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.