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Finding the Fourth Proportional to 237.56, 355.86 and 141.32

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Solution

The fourth proportional to 237.56, 355.86 and 141.32 is: 211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.56 : 355.86 = 141.32 : x
  2. Step 2: Convert to fraction form
    237.56/355.86 = 141.32/x
  3. Step 3: Cross multiply
    237.56x = 355.86 × 141.32
  4. Step 4: Simplify right side
    237.56x = 50,290.14
  5. Step 5: Solve for x
    x = 50,290.14/237.56
  6. Step 6: Final answer
    x = 211.69

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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.