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Finding the Fourth Proportional to 213.85, 320.52 and 92.08

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Solution

The fourth proportional to 213.85, 320.52 and 92.08 is: 138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.85 : 320.52 = 92.08 : x
  2. Step 2: Convert to fraction form
    213.85/320.52 = 92.08/x
  3. Step 3: Cross multiply
    213.85x = 320.52 × 92.08
  4. Step 4: Simplify right side
    213.85x = 29,513.48
  5. Step 5: Solve for x
    x = 29,513.48/213.85
  6. Step 6: Final answer
    x = 138.01

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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.