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Finding the Fourth Proportional to 294.36, 406.29 and 178.02

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Solution

The fourth proportional to 294.36, 406.29 and 178.02 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.36 : 406.29 = 178.02 : x
  2. Step 2: Convert to fraction form
    294.36/406.29 = 178.02/x
  3. Step 3: Cross multiply
    294.36x = 406.29 × 178.02
  4. Step 4: Simplify right side
    294.36x = 72,327.75
  5. Step 5: Solve for x
    x = 72,327.75/294.36
  6. Step 6: Final answer
    x = 245.71

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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.