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Finding the Fourth Proportional to 320.70, 442.62 and 189.78

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Solution

The fourth proportional to 320.70, 442.62 and 189.78 is: 261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.70 : 442.62 = 189.78 : x
  2. Step 2: Convert to fraction form
    320.70/442.62 = 189.78/x
  3. Step 3: Cross multiply
    320.70x = 442.62 × 189.78
  4. Step 4: Simplify right side
    320.70x = 84,000.42
  5. Step 5: Solve for x
    x = 84,000.42/320.70
  6. Step 6: Final answer
    x = 261.93

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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.