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Finding the Fourth Proportional to 294.38, 406.26 and 178.01

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Solution

The fourth proportional to 294.38, 406.26 and 178.01 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.38 : 406.26 = 178.01 : x
  2. Step 2: Convert to fraction form
    294.38/406.26 = 178.01/x
  3. Step 3: Cross multiply
    294.38x = 406.26 × 178.01
  4. Step 4: Simplify right side
    294.38x = 72,316.31
  5. Step 5: Solve for x
    x = 72,316.31/294.38
  6. Step 6: Final answer
    x = 245.66

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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.