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Finding the Fourth Proportional to 237.03, 355.22 and 106.98

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Solution

The fourth proportional to 237.03, 355.22 and 106.98 is: 160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.03 : 355.22 = 106.98 : x
  2. Step 2: Convert to fraction form
    237.03/355.22 = 106.98/x
  3. Step 3: Cross multiply
    237.03x = 355.22 × 106.98
  4. Step 4: Simplify right side
    237.03x = 38,001.44
  5. Step 5: Solve for x
    x = 38,001.44/237.03
  6. Step 6: Final answer
    x = 160.32

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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.