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Finding the Fourth Proportional to 362.41, 543.81 and 146.00

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Solution

The fourth proportional to 362.41, 543.81 and 146.00 is: 219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.41 : 543.81 = 146.00 : x
  2. Step 2: Convert to fraction form
    362.41/543.81 = 146.00/x
  3. Step 3: Cross multiply
    362.41x = 543.81 × 146.00
  4. Step 4: Simplify right side
    362.41x = 79,398.17
  5. Step 5: Solve for x
    x = 79,398.17/362.41
  6. Step 6: Final answer
    x = 219.09

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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.