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Finding the Fourth Proportional to 232.84, 320.20 and 188.04

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Solution

The fourth proportional to 232.84, 320.20 and 188.04 is: 258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.84 : 320.20 = 188.04 : x
  2. Step 2: Convert to fraction form
    232.84/320.20 = 188.04/x
  3. Step 3: Cross multiply
    232.84x = 320.20 × 188.04
  4. Step 4: Simplify right side
    232.84x = 60,210.41
  5. Step 5: Solve for x
    x = 60,210.41/232.84
  6. Step 6: Final answer
    x = 258.59

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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.