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Finding the Fourth Proportional to 393.64, 590.08 and 146.67

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Solution

The fourth proportional to 393.64, 590.08 and 146.67 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.64 : 590.08 = 146.67 : x
  2. Step 2: Convert to fraction form
    393.64/590.08 = 146.67/x
  3. Step 3: Cross multiply
    393.64x = 590.08 × 146.67
  4. Step 4: Simplify right side
    393.64x = 86,544.73
  5. Step 5: Solve for x
    x = 86,544.73/393.64
  6. Step 6: Final answer
    x = 219.86

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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.