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Finding the Fourth Proportional to 319.90, 479.83 and 146.56

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Solution

The fourth proportional to 319.90, 479.83 and 146.56 is: 219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.90 : 479.83 = 146.56 : x
  2. Step 2: Convert to fraction form
    319.90/479.83 = 146.56/x
  3. Step 3: Cross multiply
    319.90x = 479.83 × 146.56
  4. Step 4: Simplify right side
    319.90x = 70,323.88
  5. Step 5: Solve for x
    x = 70,323.88/319.90
  6. Step 6: Final answer
    x = 219.83

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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.