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Finding the Fourth Proportional to 294.50, 406.35 and 170.16

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Solution

The fourth proportional to 294.50, 406.35 and 170.16 is: 234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.50 : 406.35 = 170.16 : x
  2. Step 2: Convert to fraction form
    294.50/406.35 = 170.16/x
  3. Step 3: Cross multiply
    294.50x = 406.35 × 170.16
  4. Step 4: Simplify right side
    294.50x = 69,144.52
  5. Step 5: Solve for x
    x = 69,144.52/294.50
  6. Step 6: Final answer
    x = 234.79

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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.