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Finding the Fourth Proportional to 362.74, 543.73 and 146.47

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Solution

The fourth proportional to 362.74, 543.73 and 146.47 is: 219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.74 : 543.73 = 146.47 : x
  2. Step 2: Convert to fraction form
    362.74/543.73 = 146.47/x
  3. Step 3: Cross multiply
    362.74x = 543.73 × 146.47
  4. Step 4: Simplify right side
    362.74x = 79,636.68
  5. Step 5: Solve for x
    x = 79,636.68/362.74
  6. Step 6: Final answer
    x = 219.55

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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.