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Finding the Fourth Proportional to 232.04, 320.21 and 133.82

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Solution

The fourth proportional to 232.04, 320.21 and 133.82 is: 184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.04 : 320.21 = 133.82 : x
  2. Step 2: Convert to fraction form
    232.04/320.21 = 133.82/x
  3. Step 3: Cross multiply
    232.04x = 320.21 × 133.82
  4. Step 4: Simplify right side
    232.04x = 42,848.23
  5. Step 5: Solve for x
    x = 42,848.23/232.04
  6. Step 6: Final answer
    x = 184.66

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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.