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Finding the Fourth Proportional to 270.38, 372.96 and 253.22

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Solution

The fourth proportional to 270.38, 372.96 and 253.22 is: 349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.38 : 372.96 = 253.22 : x
  2. Step 2: Convert to fraction form
    270.38/372.96 = 253.22/x
  3. Step 3: Cross multiply
    270.38x = 372.96 × 253.22
  4. Step 4: Simplify right side
    270.38x = 94,440.93
  5. Step 5: Solve for x
    x = 94,440.93/270.38
  6. Step 6: Final answer
    x = 349.29

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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.