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Finding the Fourth Proportional to 294.42, 406.34 and 170.14

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Solution

The fourth proportional to 294.42, 406.34 and 170.14 is: 234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.42 : 406.34 = 170.14 : x
  2. Step 2: Convert to fraction form
    294.42/406.34 = 170.14/x
  3. Step 3: Cross multiply
    294.42x = 406.34 × 170.14
  4. Step 4: Simplify right side
    294.42x = 69,134.69
  5. Step 5: Solve for x
    x = 69,134.69/294.42
  6. Step 6: Final answer
    x = 234.82

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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.