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Finding the Fourth Proportional to 237.31, 356.31 and 205.06

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Solution

The fourth proportional to 237.31, 356.31 and 205.06 is: 307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.31 : 356.31 = 205.06 : x
  2. Step 2: Convert to fraction form
    237.31/356.31 = 205.06/x
  3. Step 3: Cross multiply
    237.31x = 356.31 × 205.06
  4. Step 4: Simplify right side
    237.31x = 73,064.93
  5. Step 5: Solve for x
    x = 73,064.93/237.31
  6. Step 6: Final answer
    x = 307.89

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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.