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Finding the Fourth Proportional to 232.21, 320.57 and 162.33

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Solution

The fourth proportional to 232.21, 320.57 and 162.33 is: 224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.21 : 320.57 = 162.33 : x
  2. Step 2: Convert to fraction form
    232.21/320.57 = 162.33/x
  3. Step 3: Cross multiply
    232.21x = 320.57 × 162.33
  4. Step 4: Simplify right side
    232.21x = 52,038.13
  5. Step 5: Solve for x
    x = 52,038.13/232.21
  6. Step 6: Final answer
    x = 224.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.