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Finding the Fourth Proportional to 213.85, 320.19 and 155.77

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Solution

The fourth proportional to 213.85, 320.19 and 155.77 is: 233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.85 : 320.19 = 155.77 : x
  2. Step 2: Convert to fraction form
    213.85/320.19 = 155.77/x
  3. Step 3: Cross multiply
    213.85x = 320.19 × 155.77
  4. Step 4: Simplify right side
    213.85x = 49,876.00
  5. Step 5: Solve for x
    x = 49,876.00/213.85
  6. Step 6: Final answer
    x = 233.23

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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.