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Finding the Fourth Proportional to 270.63, 373.01 and 205.16

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Solution

The fourth proportional to 270.63, 373.01 and 205.16 is: 282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.63 : 373.01 = 205.16 : x
  2. Step 2: Convert to fraction form
    270.63/373.01 = 205.16/x
  3. Step 3: Cross multiply
    270.63x = 373.01 × 205.16
  4. Step 4: Simplify right side
    270.63x = 76,523.84
  5. Step 5: Solve for x
    x = 76,523.84/270.63
  6. Step 6: Final answer
    x = 282.76

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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.