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Finding the Fourth Proportional to 320.32, 442.03 and 180.44

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Solution

The fourth proportional to 320.32, 442.03 and 180.44 is: 249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.32 : 442.03 = 180.44 : x
  2. Step 2: Convert to fraction form
    320.32/442.03 = 180.44/x
  3. Step 3: Cross multiply
    320.32x = 442.03 × 180.44
  4. Step 4: Simplify right side
    320.32x = 79,759.89
  5. Step 5: Solve for x
    x = 79,759.89/320.32
  6. Step 6: Final answer
    x = 249.00

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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.