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Finding the Fourth Proportional to 237.34, 355.34 and 160.15

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Solution

The fourth proportional to 237.34, 355.34 and 160.15 is: 239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.34 : 355.34 = 160.15 : x
  2. Step 2: Convert to fraction form
    237.34/355.34 = 160.15/x
  3. Step 3: Cross multiply
    237.34x = 355.34 × 160.15
  4. Step 4: Simplify right side
    237.34x = 56,906.01
  5. Step 5: Solve for x
    x = 56,906.01/237.34
  6. Step 6: Final answer
    x = 239.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.