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Finding the Fourth Proportional to 296.75, 409.50 and 165.74

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Solution

The fourth proportional to 296.75, 409.50 and 165.74 is: 228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.75 : 409.50 = 165.74 : x
  2. Step 2: Convert to fraction form
    296.75/409.50 = 165.74/x
  3. Step 3: Cross multiply
    296.75x = 409.50 × 165.74
  4. Step 4: Simplify right side
    296.75x = 67,870.53
  5. Step 5: Solve for x
    x = 67,870.53/296.75
  6. Step 6: Final answer
    x = 228.71

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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.