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Finding the Fourth Proportional to 362.66, 543.79 and 143.11

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Solution

The fourth proportional to 362.66, 543.79 and 143.11 is: 214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.66 : 543.79 = 143.11 : x
  2. Step 2: Convert to fraction form
    362.66/543.79 = 143.11/x
  3. Step 3: Cross multiply
    362.66x = 543.79 × 143.11
  4. Step 4: Simplify right side
    362.66x = 77,820.07
  5. Step 5: Solve for x
    x = 77,820.07/362.66
  6. Step 6: Final answer
    x = 214.58

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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.