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Finding the Fourth Proportional to 294.29, 406 and 176.30

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Solution

The fourth proportional to 294.29, 406 and 176.30 is: 243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.29 : 406 = 176.30 : x
  2. Step 2: Convert to fraction form
    294.29/406 = 176.30/x
  3. Step 3: Cross multiply
    294.29x = 406 × 176.30
  4. Step 4: Simplify right side
    294.29x = 71,577.80
  5. Step 5: Solve for x
    x = 71,577.80/294.29
  6. Step 6: Final answer
    x = 243.22

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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.