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Finding the Fourth Proportional to 270.72, 373.73 and 204.36

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Solution

The fourth proportional to 270.72, 373.73 and 204.36 is: 282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.72 : 373.73 = 204.36 : x
  2. Step 2: Convert to fraction form
    270.72/373.73 = 204.36/x
  3. Step 3: Cross multiply
    270.72x = 373.73 × 204.36
  4. Step 4: Simplify right side
    270.72x = 76,373.04
  5. Step 5: Solve for x
    x = 76,373.04/270.72
  6. Step 6: Final answer
    x = 282.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.