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Finding the Fourth Proportional to 319.57, 479.40 and 146.24

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Solution

The fourth proportional to 319.57, 479.40 and 146.24 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.57 : 479.40 = 146.24 : x
  2. Step 2: Convert to fraction form
    319.57/479.40 = 146.24/x
  3. Step 3: Cross multiply
    319.57x = 479.40 × 146.24
  4. Step 4: Simplify right side
    319.57x = 70,107.46
  5. Step 5: Solve for x
    x = 70,107.46/319.57
  6. Step 6: Final answer
    x = 219.38

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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.