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Finding the Fourth Proportional to 270.34, 372.96 and 165.44

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Solution

The fourth proportional to 270.34, 372.96 and 165.44 is: 228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.34 : 372.96 = 165.44 : x
  2. Step 2: Convert to fraction form
    270.34/372.96 = 165.44/x
  3. Step 3: Cross multiply
    270.34x = 372.96 × 165.44
  4. Step 4: Simplify right side
    270.34x = 61,702.50
  5. Step 5: Solve for x
    x = 61,702.50/270.34
  6. Step 6: Final answer
    x = 228.24

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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.