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Finding the Fourth Proportional to 294.19, 441.16 and 147.81

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Solution

The fourth proportional to 294.19, 441.16 and 147.81 is: 221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.19 : 441.16 = 147.81 : x
  2. Step 2: Convert to fraction form
    294.19/441.16 = 147.81/x
  3. Step 3: Cross multiply
    294.19x = 441.16 × 147.81
  4. Step 4: Simplify right side
    294.19x = 65,207.86
  5. Step 5: Solve for x
    x = 65,207.86/294.19
  6. Step 6: Final answer
    x = 221.65

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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.