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Finding the Fourth Proportional to 237.26, 355.90 and 141.06

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Solution

The fourth proportional to 237.26, 355.90 and 141.06 is: 211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.26 : 355.90 = 141.06 : x
  2. Step 2: Convert to fraction form
    237.26/355.90 = 141.06/x
  3. Step 3: Cross multiply
    237.26x = 355.90 × 141.06
  4. Step 4: Simplify right side
    237.26x = 50,203.25
  5. Step 5: Solve for x
    x = 50,203.25/237.26
  6. Step 6: Final answer
    x = 211.60

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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.