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Finding the Fourth Proportional to 296.91, 409.69 and 170.89

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Solution

The fourth proportional to 296.91, 409.69 and 170.89 is: 235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.91 : 409.69 = 170.89 : x
  2. Step 2: Convert to fraction form
    296.91/409.69 = 170.89/x
  3. Step 3: Cross multiply
    296.91x = 409.69 × 170.89
  4. Step 4: Simplify right side
    296.91x = 70,011.92
  5. Step 5: Solve for x
    x = 70,011.92/296.91
  6. Step 6: Final answer
    x = 235.80

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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.