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Finding the Fourth Proportional to 362.82, 544.25 and 157.58

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Solution

The fourth proportional to 362.82, 544.25 and 157.58 is: 236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.82 : 544.25 = 157.58 : x
  2. Step 2: Convert to fraction form
    362.82/544.25 = 157.58/x
  3. Step 3: Cross multiply
    362.82x = 544.25 × 157.58
  4. Step 4: Simplify right side
    362.82x = 85,762.92
  5. Step 5: Solve for x
    x = 85,762.92/362.82
  6. Step 6: Final answer
    x = 236.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.