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Finding the Fourth Proportional to 211.93, 318.15 and 173.86

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Solution

The fourth proportional to 211.93, 318.15 and 173.86 is: 261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.93 : 318.15 = 173.86 : x
  2. Step 2: Convert to fraction form
    211.93/318.15 = 173.86/x
  3. Step 3: Cross multiply
    211.93x = 318.15 × 173.86
  4. Step 4: Simplify right side
    211.93x = 55,313.56
  5. Step 5: Solve for x
    x = 55,313.56/211.93
  6. Step 6: Final answer
    x = 261.00

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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.