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Finding the Fourth Proportional to 296.34, 408.95 and 165.35

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Solution

The fourth proportional to 296.34, 408.95 and 165.35 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.34 : 408.95 = 165.35 : x
  2. Step 2: Convert to fraction form
    296.34/408.95 = 165.35/x
  3. Step 3: Cross multiply
    296.34x = 408.95 × 165.35
  4. Step 4: Simplify right side
    296.34x = 67,617.01
  5. Step 5: Solve for x
    x = 67,617.01/296.34
  6. Step 6: Final answer
    x = 228.17

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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.