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Finding the Fourth Proportional to 320.71, 442.53 and 180.80

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Solution

The fourth proportional to 320.71, 442.53 and 180.80 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.71 : 442.53 = 180.80 : x
  2. Step 2: Convert to fraction form
    320.71/442.53 = 180.80/x
  3. Step 3: Cross multiply
    320.71x = 442.53 × 180.80
  4. Step 4: Simplify right side
    320.71x = 80,008.87
  5. Step 5: Solve for x
    x = 80,008.87/320.71
  6. Step 6: Final answer
    x = 249.47

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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.