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Finding the Fourth Proportional to 294.70, 406.72 and 178.28

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Solution

The fourth proportional to 294.70, 406.72 and 178.28 is: 246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.70 : 406.72 = 178.28 : x
  2. Step 2: Convert to fraction form
    294.70/406.72 = 178.28/x
  3. Step 3: Cross multiply
    294.70x = 406.72 × 178.28
  4. Step 4: Simplify right side
    294.70x = 72,510.04
  5. Step 5: Solve for x
    x = 72,510.04/294.70
  6. Step 6: Final answer
    x = 246.05

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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.