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Finding the Fourth Proportional to 281.28, 420.93 and 237.84

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Solution

The fourth proportional to 281.28, 420.93 and 237.84 is: 355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.28 : 420.93 = 237.84 : x
  2. Step 2: Convert to fraction form
    281.28/420.93 = 237.84/x
  3. Step 3: Cross multiply
    281.28x = 420.93 × 237.84
  4. Step 4: Simplify right side
    281.28x = 100,113.99
  5. Step 5: Solve for x
    x = 100,113.99/281.28
  6. Step 6: Final answer
    x = 355.92

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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.