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Finding the Fourth Proportional to 270.22, 402.46 and 253.36

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Solution

The fourth proportional to 270.22, 402.46 and 253.36 is: 377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.22 : 402.46 = 253.36 : x
  2. Step 2: Convert to fraction form
    270.22/402.46 = 253.36/x
  3. Step 3: Cross multiply
    270.22x = 402.46 × 253.36
  4. Step 4: Simplify right side
    270.22x = 101,967.85
  5. Step 5: Solve for x
    x = 101,967.85/270.22
  6. Step 6: Final answer
    x = 377.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.