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Finding the Fourth Proportional to 296.29, 408.89 and 165.32

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Solution

The fourth proportional to 296.29, 408.89 and 165.32 is: 228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.29 : 408.89 = 165.32 : x
  2. Step 2: Convert to fraction form
    296.29/408.89 = 165.32/x
  3. Step 3: Cross multiply
    296.29x = 408.89 × 165.32
  4. Step 4: Simplify right side
    296.29x = 67,598.00
  5. Step 5: Solve for x
    x = 67,598.00/296.29
  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.