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Finding the Fourth Proportional to 213.48, 320.34 and 128.04

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Solution

The fourth proportional to 213.48, 320.34 and 128.04 is: 192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.48 : 320.34 = 128.04 : x
  2. Step 2: Convert to fraction form
    213.48/320.34 = 128.04/x
  3. Step 3: Cross multiply
    213.48x = 320.34 × 128.04
  4. Step 4: Simplify right side
    213.48x = 41,016.33
  5. Step 5: Solve for x
    x = 41,016.33/213.48
  6. Step 6: Final answer
    x = 192.13

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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.