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Finding the Fourth Proportional to 320.54, 442.40 and 189.62

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Solution

The fourth proportional to 320.54, 442.40 and 189.62 is: 261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.54 : 442.40 = 189.62 : x
  2. Step 2: Convert to fraction form
    320.54/442.40 = 189.62/x
  3. Step 3: Cross multiply
    320.54x = 442.40 × 189.62
  4. Step 4: Simplify right side
    320.54x = 83,886.39
  5. Step 5: Solve for x
    x = 83,886.39/320.54
  6. Step 6: Final answer
    x = 261.71

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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.