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Finding the Fourth Proportional to 213.88, 320.77 and 152.83

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Solution

The fourth proportional to 213.88, 320.77 and 152.83 is: 229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.88 : 320.77 = 152.83 : x
  2. Step 2: Convert to fraction form
    213.88/320.77 = 152.83/x
  3. Step 3: Cross multiply
    213.88x = 320.77 × 152.83
  4. Step 4: Simplify right side
    213.88x = 49,023.28
  5. Step 5: Solve for x
    x = 49,023.28/213.88
  6. Step 6: Final answer
    x = 229.21

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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.