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Finding the Fourth Proportional to 294.16, 441.52 and 178.72

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Solution

The fourth proportional to 294.16, 441.52 and 178.72 is: 268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.16 : 441.52 = 178.72 : x
  2. Step 2: Convert to fraction form
    294.16/441.52 = 178.72/x
  3. Step 3: Cross multiply
    294.16x = 441.52 × 178.72
  4. Step 4: Simplify right side
    294.16x = 78,908.45
  5. Step 5: Solve for x
    x = 78,908.45/294.16
  6. Step 6: Final answer
    x = 268.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.