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Finding the Fourth Proportional to 270.10, 373.24 and 204.50

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Solution

The fourth proportional to 270.10, 373.24 and 204.50 is: 282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.10 : 373.24 = 204.50 : x
  2. Step 2: Convert to fraction form
    270.10/373.24 = 204.50/x
  3. Step 3: Cross multiply
    270.10x = 373.24 × 204.50
  4. Step 4: Simplify right side
    270.10x = 76,327.58
  5. Step 5: Solve for x
    x = 76,327.58/270.10
  6. Step 6: Final answer
    x = 282.59

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