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Finding the Fourth Proportional to 296.31, 408.92 and 165.32

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Solution

The fourth proportional to 296.31, 408.92 and 165.32 is: 228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.31 : 408.92 = 165.32 : x
  2. Step 2: Convert to fraction form
    296.31/408.92 = 165.32/x
  3. Step 3: Cross multiply
    296.31x = 408.92 × 165.32
  4. Step 4: Simplify right side
    296.31x = 67,602.65
  5. Step 5: Solve for x
    x = 67,602.65/296.31
  6. Step 6: Final answer
    x = 228.15

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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.