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Finding the Fourth Proportional to 237.86, 328.34 and 154.96

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Solution

The fourth proportional to 237.86, 328.34 and 154.96 is: 213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.86 : 328.34 = 154.96 : x
  2. Step 2: Convert to fraction form
    237.86/328.34 = 154.96/x
  3. Step 3: Cross multiply
    237.86x = 328.34 × 154.96
  4. Step 4: Simplify right side
    237.86x = 50,879.57
  5. Step 5: Solve for x
    x = 50,879.57/237.86
  6. Step 6: Final answer
    x = 213.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.