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Finding the Fourth Proportional to 320.81, 442.76 and 180.98

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Solution

The fourth proportional to 320.81, 442.76 and 180.98 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.81 : 442.76 = 180.98 : x
  2. Step 2: Convert to fraction form
    320.81/442.76 = 180.98/x
  3. Step 3: Cross multiply
    320.81x = 442.76 × 180.98
  4. Step 4: Simplify right side
    320.81x = 80,127.59
  5. Step 5: Solve for x
    x = 80,127.59/320.81
  6. Step 6: Final answer
    x = 249.77

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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.