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Finding the Fourth Proportional to 237.06, 356.94 and 165.39

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Solution

The fourth proportional to 237.06, 356.94 and 165.39 is: 249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.06 : 356.94 = 165.39 : x
  2. Step 2: Convert to fraction form
    237.06/356.94 = 165.39/x
  3. Step 3: Cross multiply
    237.06x = 356.94 × 165.39
  4. Step 4: Simplify right side
    237.06x = 59,034.31
  5. Step 5: Solve for x
    x = 59,034.31/237.06
  6. Step 6: Final answer
    x = 249.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.