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Finding the Fourth Proportional to 320.69, 442.52 and 189.78

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Solution

The fourth proportional to 320.69, 442.52 and 189.78 is: 261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.69 : 442.52 = 189.78 : x
  2. Step 2: Convert to fraction form
    320.69/442.52 = 189.78/x
  3. Step 3: Cross multiply
    320.69x = 442.52 × 189.78
  4. Step 4: Simplify right side
    320.69x = 83,980.50
  5. Step 5: Solve for x
    x = 83,980.50/320.69
  6. Step 6: Final answer
    x = 261.88

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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.