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Finding the Fourth Proportional to 320.46, 442.19 and 180.57

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Solution

The fourth proportional to 320.46, 442.19 and 180.57 is: 249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.46 : 442.19 = 180.57 : x
  2. Step 2: Convert to fraction form
    320.46/442.19 = 180.57/x
  3. Step 3: Cross multiply
    320.46x = 442.19 × 180.57
  4. Step 4: Simplify right side
    320.46x = 79,845.35
  5. Step 5: Solve for x
    x = 79,845.35/320.46
  6. Step 6: Final answer
    x = 249.16

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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.