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Finding the Fourth Proportional to 237.22, 355.74 and 100.30

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Solution

The fourth proportional to 237.22, 355.74 and 100.30 is: 150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.22 : 355.74 = 100.30 : x
  2. Step 2: Convert to fraction form
    237.22/355.74 = 100.30/x
  3. Step 3: Cross multiply
    237.22x = 355.74 × 100.30
  4. Step 4: Simplify right side
    237.22x = 35,680.72
  5. Step 5: Solve for x
    x = 35,680.72/237.22
  6. Step 6: Final answer
    x = 150.41

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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.