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Finding the Fourth Proportional to 237.54, 327.77 and 134.02

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Solution

The fourth proportional to 237.54, 327.77 and 134.02 is: 184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.54 : 327.77 = 134.02 : x
  2. Step 2: Convert to fraction form
    237.54/327.77 = 134.02/x
  3. Step 3: Cross multiply
    237.54x = 327.77 × 134.02
  4. Step 4: Simplify right side
    237.54x = 43,927.74
  5. Step 5: Solve for x
    x = 43,927.74/237.54
  6. Step 6: Final answer
    x = 184.93

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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.