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Finding the Fourth Proportional to 294.58, 406.51 and 170.23

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Solution

The fourth proportional to 294.58, 406.51 and 170.23 is: 234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.58 : 406.51 = 170.23 : x
  2. Step 2: Convert to fraction form
    294.58/406.51 = 170.23/x
  3. Step 3: Cross multiply
    294.58x = 406.51 × 170.23
  4. Step 4: Simplify right side
    294.58x = 69,200.20
  5. Step 5: Solve for x
    x = 69,200.20/294.58
  6. Step 6: Final answer
    x = 234.91

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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.