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Finding the Fourth Proportional to 211.91, 317.85 and 120.32

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Solution

The fourth proportional to 211.91, 317.85 and 120.32 is: 180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.91 : 317.85 = 120.32 : x
  2. Step 2: Convert to fraction form
    211.91/317.85 = 120.32/x
  3. Step 3: Cross multiply
    211.91x = 317.85 × 120.32
  4. Step 4: Simplify right side
    211.91x = 38,243.71
  5. Step 5: Solve for x
    x = 38,243.71/211.91
  6. Step 6: Final answer
    x = 180.47

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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.