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Finding the Fourth Proportional to 213.23, 319.31 and 152.21

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Solution

The fourth proportional to 213.23, 319.31 and 152.21 is: 227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.23 : 319.31 = 152.21 : x
  2. Step 2: Convert to fraction form
    213.23/319.31 = 152.21/x
  3. Step 3: Cross multiply
    213.23x = 319.31 × 152.21
  4. Step 4: Simplify right side
    213.23x = 48,602.78
  5. Step 5: Solve for x
    x = 48,602.78/213.23
  6. Step 6: Final answer
    x = 227.93

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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.