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Finding the Fourth Proportional to 211.57, 317.31 and 114.03

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Solution

The fourth proportional to 211.57, 317.31 and 114.03 is: 171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.57 : 317.31 = 114.03 : x
  2. Step 2: Convert to fraction form
    211.57/317.31 = 114.03/x
  3. Step 3: Cross multiply
    211.57x = 317.31 × 114.03
  4. Step 4: Simplify right side
    211.57x = 36,182.86
  5. Step 5: Solve for x
    x = 36,182.86/211.57
  6. Step 6: Final answer
    x = 171.02

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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.