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Finding the Fourth Proportional to 362.83, 544.28 and 157.42

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Solution

The fourth proportional to 362.83, 544.28 and 157.42 is: 236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.83 : 544.28 = 157.42 : x
  2. Step 2: Convert to fraction form
    362.83/544.28 = 157.42/x
  3. Step 3: Cross multiply
    362.83x = 544.28 × 157.42
  4. Step 4: Simplify right side
    362.83x = 85,677.83
  5. Step 5: Solve for x
    x = 85,677.83/362.83
  6. Step 6: Final answer
    x = 236.14

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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.