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Finding the Fourth Proportional to 320.56, 442.34 and 180.68

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Solution

The fourth proportional to 320.56, 442.34 and 180.68 is: 249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.56 : 442.34 = 180.68 : x
  2. Step 2: Convert to fraction form
    320.56/442.34 = 180.68/x
  3. Step 3: Cross multiply
    320.56x = 442.34 × 180.68
  4. Step 4: Simplify right side
    320.56x = 79,920.23
  5. Step 5: Solve for x
    x = 79,920.23/320.56
  6. Step 6: Final answer
    x = 249.32

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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.