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Finding the Fourth Proportional to 211.53, 317.19 and 74.57

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Solution

The fourth proportional to 211.53, 317.19 and 74.57 is: 111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.53 : 317.19 = 74.57 : x
  2. Step 2: Convert to fraction form
    211.53/317.19 = 74.57/x
  3. Step 3: Cross multiply
    211.53x = 317.19 × 74.57
  4. Step 4: Simplify right side
    211.53x = 23,652.86
  5. Step 5: Solve for x
    x = 23,652.86/211.53
  6. Step 6: Final answer
    x = 111.82

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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.