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Finding the Fourth Proportional to 362.85, 544.50 and 146.43

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Solution

The fourth proportional to 362.85, 544.50 and 146.43 is: 219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.85 : 544.50 = 146.43 : x
  2. Step 2: Convert to fraction form
    362.85/544.50 = 146.43/x
  3. Step 3: Cross multiply
    362.85x = 544.50 × 146.43
  4. Step 4: Simplify right side
    362.85x = 79,731.14
  5. Step 5: Solve for x
    x = 79,731.14/362.85
  6. Step 6: Final answer
    x = 219.74

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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.