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Finding the Fourth Proportional to 237.06, 355.68 and 107.09

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Solution

The fourth proportional to 237.06, 355.68 and 107.09 is: 160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.06 : 355.68 = 107.09 : x
  2. Step 2: Convert to fraction form
    237.06/355.68 = 107.09/x
  3. Step 3: Cross multiply
    237.06x = 355.68 × 107.09
  4. Step 4: Simplify right side
    237.06x = 38,090.66
  5. Step 5: Solve for x
    x = 38,090.66/237.06
  6. Step 6: Final answer
    x = 160.68

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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.