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Finding the Fourth Proportional to 237.96, 328.48 and 162.28

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Solution

The fourth proportional to 237.96, 328.48 and 162.28 is: 224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.96 : 328.48 = 162.28 : x
  2. Step 2: Convert to fraction form
    237.96/328.48 = 162.28/x
  3. Step 3: Cross multiply
    237.96x = 328.48 × 162.28
  4. Step 4: Simplify right side
    237.96x = 53,305.73
  5. Step 5: Solve for x
    x = 53,305.73/237.96
  6. Step 6: Final answer
    x = 224.01

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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.