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Finding the Fourth Proportional to 296.51, 409.17 and 165.53

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Solution

The fourth proportional to 296.51, 409.17 and 165.53 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.51 : 409.17 = 165.53 : x
  2. Step 2: Convert to fraction form
    296.51/409.17 = 165.53/x
  3. Step 3: Cross multiply
    296.51x = 409.17 × 165.53
  4. Step 4: Simplify right side
    296.51x = 67,727.86
  5. Step 5: Solve for x
    x = 67,727.86/296.51
  6. Step 6: Final answer
    x = 228.42

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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.