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Finding the Fourth Proportional to 272.83, 409.15 and 99.47

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Solution

The fourth proportional to 272.83, 409.15 and 99.47 is: 149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.83 : 409.15 = 99.47 : x
  2. Step 2: Convert to fraction form
    272.83/409.15 = 99.47/x
  3. Step 3: Cross multiply
    272.83x = 409.15 × 99.47
  4. Step 4: Simplify right side
    272.83x = 40,698.15
  5. Step 5: Solve for x
    x = 40,698.15/272.83
  6. Step 6: Final answer
    x = 149.17

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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.