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Finding the Fourth Proportional to 294.92, 407 and 178.56

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Solution

The fourth proportional to 294.92, 407 and 178.56 is: 246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.92 : 407 = 178.56 : x
  2. Step 2: Convert to fraction form
    294.92/407 = 178.56/x
  3. Step 3: Cross multiply
    294.92x = 407 × 178.56
  4. Step 4: Simplify right side
    294.92x = 72,673.92
  5. Step 5: Solve for x
    x = 72,673.92/294.92
  6. Step 6: Final answer
    x = 246.42

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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.