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Finding the Fourth Proportional to 211.62, 317.16 and 120.24

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Solution

The fourth proportional to 211.62, 317.16 and 120.24 is: 180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.62 : 317.16 = 120.24 : x
  2. Step 2: Convert to fraction form
    211.62/317.16 = 120.24/x
  3. Step 3: Cross multiply
    211.62x = 317.16 × 120.24
  4. Step 4: Simplify right side
    211.62x = 38,135.32
  5. Step 5: Solve for x
    x = 38,135.32/211.62
  6. Step 6: Final answer
    x = 180.21

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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.