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Finding the Fourth Proportional to 213.95, 320.78 and 145.37

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Solution

The fourth proportional to 213.95, 320.78 and 145.37 is: 217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.95 : 320.78 = 145.37 : x
  2. Step 2: Convert to fraction form
    213.95/320.78 = 145.37/x
  3. Step 3: Cross multiply
    213.95x = 320.78 × 145.37
  4. Step 4: Simplify right side
    213.95x = 46,630.18
  5. Step 5: Solve for x
    x = 46,630.18/213.95
  6. Step 6: Final answer
    x = 217.95

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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.