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Finding the Fourth Proportional to 211.24, 316.86 and 120.04

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Solution

The fourth proportional to 211.24, 316.86 and 120.04 is: 180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.24 : 316.86 = 120.04 : x
  2. Step 2: Convert to fraction form
    211.24/316.86 = 120.04/x
  3. Step 3: Cross multiply
    211.24x = 316.86 × 120.04
  4. Step 4: Simplify right side
    211.24x = 38,035.87
  5. Step 5: Solve for x
    x = 38,035.87/211.24
  6. Step 6: Final answer
    x = 180.06

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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.