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Finding the Fourth Proportional to 211.37, 317.13 and 120.14

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Solution

The fourth proportional to 211.37, 317.13 and 120.14 is: 180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.37 : 317.13 = 120.14 : x
  2. Step 2: Convert to fraction form
    211.37/317.13 = 120.14/x
  3. Step 3: Cross multiply
    211.37x = 317.13 × 120.14
  4. Step 4: Simplify right side
    211.37x = 38,098.41
  5. Step 5: Solve for x
    x = 38,098.41/211.37
  6. Step 6: Final answer
    x = 180.25

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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.