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Finding the Fourth Proportional to 211.31, 316.66 and 157.24

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Solution

The fourth proportional to 211.31, 316.66 and 157.24 is: 235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.31 : 316.66 = 157.24 : x
  2. Step 2: Convert to fraction form
    211.31/316.66 = 157.24/x
  3. Step 3: Cross multiply
    211.31x = 316.66 × 157.24
  4. Step 4: Simplify right side
    211.31x = 49,791.92
  5. Step 5: Solve for x
    x = 49,791.92/211.31
  6. Step 6: Final answer
    x = 235.64

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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.