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Finding the Fourth Proportional to 270.02, 372.62 and 165.11

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Solution

The fourth proportional to 270.02, 372.62 and 165.11 is: 227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.02 : 372.62 = 165.11 : x
  2. Step 2: Convert to fraction form
    270.02/372.62 = 165.11/x
  3. Step 3: Cross multiply
    270.02x = 372.62 × 165.11
  4. Step 4: Simplify right side
    270.02x = 61,520.60
  5. Step 5: Solve for x
    x = 61,520.60/270.02
  6. Step 6: Final answer
    x = 227.84

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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.