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Finding the Fourth Proportional to 211.16, 317.03 and 108.52

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Solution

The fourth proportional to 211.16, 317.03 and 108.52 is: 162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.16 : 317.03 = 108.52 : x
  2. Step 2: Convert to fraction form
    211.16/317.03 = 108.52/x
  3. Step 3: Cross multiply
    211.16x = 317.03 × 108.52
  4. Step 4: Simplify right side
    211.16x = 34,403.57
  5. Step 5: Solve for x
    x = 34,403.57/211.16
  6. Step 6: Final answer
    x = 162.92

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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.