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Finding the Fourth Proportional to 310.18, 465.27 and 237.19

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Solution

The fourth proportional to 310.18, 465.27 and 237.19 is: 355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.18 : 465.27 = 237.19 : x
  2. Step 2: Convert to fraction form
    310.18/465.27 = 237.19/x
  3. Step 3: Cross multiply
    310.18x = 465.27 × 237.19
  4. Step 4: Simplify right side
    310.18x = 110,355.57
  5. Step 5: Solve for x
    x = 110,355.57/310.18
  6. Step 6: Final answer
    x = 355.78

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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.