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Finding the Fourth Proportional to 320.29, 442.00 and 180.41

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Solution

The fourth proportional to 320.29, 442.00 and 180.41 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.29 : 442.00 = 180.41 : x
  2. Step 2: Convert to fraction form
    320.29/442.00 = 180.41/x
  3. Step 3: Cross multiply
    320.29x = 442.00 × 180.41
  4. Step 4: Simplify right side
    320.29x = 79,741.04
  5. Step 5: Solve for x
    x = 79,741.04/320.29
  6. Step 6: Final answer
    x = 248.97

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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.