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Finding the Fourth Proportional to 237.06, 355.23 and 140.94

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Solution

The fourth proportional to 237.06, 355.23 and 140.94 is: 211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.06 : 355.23 = 140.94 : x
  2. Step 2: Convert to fraction form
    237.06/355.23 = 140.94/x
  3. Step 3: Cross multiply
    237.06x = 355.23 × 140.94
  4. Step 4: Simplify right side
    237.06x = 50,066.12
  5. Step 5: Solve for x
    x = 50,066.12/237.06
  6. Step 6: Final answer
    x = 211.20

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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.