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Finding the Fourth Proportional to 294.81, 406.82 and 178.35

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Solution

The fourth proportional to 294.81, 406.82 and 178.35 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.81 : 406.82 = 178.35 : x
  2. Step 2: Convert to fraction form
    294.81/406.82 = 178.35/x
  3. Step 3: Cross multiply
    294.81x = 406.82 × 178.35
  4. Step 4: Simplify right side
    294.81x = 72,556.35
  5. Step 5: Solve for x
    x = 72,556.35/294.81
  6. Step 6: Final answer
    x = 246.11

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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.