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Finding the Fourth Proportional to 294.03, 405.80 and 169.66

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Solution

The fourth proportional to 294.03, 405.80 and 169.66 is: 234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.03 : 405.80 = 169.66 : x
  2. Step 2: Convert to fraction form
    294.03/405.80 = 169.66/x
  3. Step 3: Cross multiply
    294.03x = 405.80 × 169.66
  4. Step 4: Simplify right side
    294.03x = 68,848.32
  5. Step 5: Solve for x
    x = 68,848.32/294.03
  6. Step 6: Final answer
    x = 234.16

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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.