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Finding the Fourth Proportional to 294.46, 406.33 and 178

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Solution

The fourth proportional to 294.46, 406.33 and 178 is: 245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.46 : 406.33 = 178 : x
  2. Step 2: Convert to fraction form
    294.46/406.33 = 178/x
  3. Step 3: Cross multiply
    294.46x = 406.33 × 178
  4. Step 4: Simplify right side
    294.46x = 72,326.74
  5. Step 5: Solve for x
    x = 72,326.74/294.46
  6. Step 6: Final answer
    x = 245.63

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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.