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Finding the Fourth Proportional to 237.96, 356.72 and 120.74

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Solution

The fourth proportional to 237.96, 356.72 and 120.74 is: 181.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.96 : 356.72 = 120.74 : x
  2. Step 2: Convert to fraction form
    237.96/356.72 = 120.74/x
  3. Step 3: Cross multiply
    237.96x = 356.72 × 120.74
  4. Step 4: Simplify right side
    237.96x = 43,070.37
  5. Step 5: Solve for x
    x = 43,070.37/237.96
  6. Step 6: Final answer
    x = 181.00

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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.