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Finding the Fourth Proportional to 320.42, 442.16 and 189.43

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Solution

The fourth proportional to 320.42, 442.16 and 189.43 is: 261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.42 : 442.16 = 189.43 : x
  2. Step 2: Convert to fraction form
    320.42/442.16 = 189.43/x
  3. Step 3: Cross multiply
    320.42x = 442.16 × 189.43
  4. Step 4: Simplify right side
    320.42x = 83,756.16
  5. Step 5: Solve for x
    x = 83,756.16/320.42
  6. Step 6: Final answer
    x = 261.39

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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.