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Finding the Fourth Proportional to 390.22, 584.97 and 146.56

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Solution

The fourth proportional to 390.22, 584.97 and 146.56 is: 219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.22 : 584.97 = 146.56 : x
  2. Step 2: Convert to fraction form
    390.22/584.97 = 146.56/x
  3. Step 3: Cross multiply
    390.22x = 584.97 × 146.56
  4. Step 4: Simplify right side
    390.22x = 85,733.20
  5. Step 5: Solve for x
    x = 85,733.20/390.22
  6. Step 6: Final answer
    x = 219.70

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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.