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Finding the Fourth Proportional to 237.75, 356.63 and 66.75

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Solution

The fourth proportional to 237.75, 356.63 and 66.75 is: 100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.75 : 356.63 = 66.75 : x
  2. Step 2: Convert to fraction form
    237.75/356.63 = 66.75/x
  3. Step 3: Cross multiply
    237.75x = 356.63 × 66.75
  4. Step 4: Simplify right side
    237.75x = 23,804.72
  5. Step 5: Solve for x
    x = 23,804.72/237.75
  6. Step 6: Final answer
    x = 100.13

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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.