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Finding the Fourth Proportional to 270.16, 372.44 and 204.32

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Solution

The fourth proportional to 270.16, 372.44 and 204.32 is: 281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.16 : 372.44 = 204.32 : x
  2. Step 2: Convert to fraction form
    270.16/372.44 = 204.32/x
  3. Step 3: Cross multiply
    270.16x = 372.44 × 204.32
  4. Step 4: Simplify right side
    270.16x = 76,096.94
  5. Step 5: Solve for x
    x = 76,096.94/270.16
  6. Step 6: Final answer
    x = 281.67

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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.