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Finding the Fourth Proportional to 294.71, 441.78 and 121.50

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Solution

The fourth proportional to 294.71, 441.78 and 121.50 is: 182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.71 : 441.78 = 121.50 : x
  2. Step 2: Convert to fraction form
    294.71/441.78 = 121.50/x
  3. Step 3: Cross multiply
    294.71x = 441.78 × 121.50
  4. Step 4: Simplify right side
    294.71x = 53,676.27
  5. Step 5: Solve for x
    x = 53,676.27/294.71
  6. Step 6: Final answer
    x = 182.13

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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.