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Finding the Fourth Proportional to 272.28, 409.80 and 204.17

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Solution

The fourth proportional to 272.28, 409.80 and 204.17 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.28 : 409.80 = 204.17 : x
  2. Step 2: Convert to fraction form
    272.28/409.80 = 204.17/x
  3. Step 3: Cross multiply
    272.28x = 409.80 × 204.17
  4. Step 4: Simplify right side
    272.28x = 83,666.82
  5. Step 5: Solve for x
    x = 83,666.82/272.28
  6. Step 6: Final answer
    x = 307.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.