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Finding the Fourth Proportional to 362.84, 544.26 and 157.21

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Solution

The fourth proportional to 362.84, 544.26 and 157.21 is: 235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.84 : 544.26 = 157.21 : x
  2. Step 2: Convert to fraction form
    362.84/544.26 = 157.21/x
  3. Step 3: Cross multiply
    362.84x = 544.26 × 157.21
  4. Step 4: Simplify right side
    362.84x = 85,563.11
  5. Step 5: Solve for x
    x = 85,563.11/362.84
  6. Step 6: Final answer
    x = 235.82

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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.