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Finding the Fourth Proportional to 270.44, 373.30 and 205.10

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Solution

The fourth proportional to 270.44, 373.30 and 205.10 is: 283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.44 : 373.30 = 205.10 : x
  2. Step 2: Convert to fraction form
    270.44/373.30 = 205.10/x
  3. Step 3: Cross multiply
    270.44x = 373.30 × 205.10
  4. Step 4: Simplify right side
    270.44x = 76,563.83
  5. Step 5: Solve for x
    x = 76,563.83/270.44
  6. Step 6: Final answer
    x = 283.11

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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.