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Finding the Fourth Proportional to 320.76, 442.63 and 180.90

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Solution

The fourth proportional to 320.76, 442.63 and 180.90 is: 249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.76 : 442.63 = 180.90 : x
  2. Step 2: Convert to fraction form
    320.76/442.63 = 180.90/x
  3. Step 3: Cross multiply
    320.76x = 442.63 × 180.90
  4. Step 4: Simplify right side
    320.76x = 80,071.77
  5. Step 5: Solve for x
    x = 80,071.77/320.76
  6. Step 6: Final answer
    x = 249.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.