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Finding the Fourth Proportional to 211.91, 317.24 and 120.32

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Solution

The fourth proportional to 211.91, 317.24 and 120.32 is: 180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.91 : 317.24 = 120.32 : x
  2. Step 2: Convert to fraction form
    211.91/317.24 = 120.32/x
  3. Step 3: Cross multiply
    211.91x = 317.24 × 120.32
  4. Step 4: Simplify right side
    211.91x = 38,169.72
  5. Step 5: Solve for x
    x = 38,169.72/211.91
  6. Step 6: Final answer
    x = 180.12

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Why These Related Problems?

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