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Finding the Fourth Proportional to 320.57, 442.34 and 189.59

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Solution

The fourth proportional to 320.57, 442.34 and 189.59 is: 261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.57 : 442.34 = 189.59 : x
  2. Step 2: Convert to fraction form
    320.57/442.34 = 189.59/x
  3. Step 3: Cross multiply
    320.57x = 442.34 × 189.59
  4. Step 4: Simplify right side
    320.57x = 83,860.08
  5. Step 5: Solve for x
    x = 83,860.08/320.57
  6. Step 6: Final answer
    x = 261.60

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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.