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Finding the Fourth Proportional to 377.39, 565.99 and 160.99

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Solution

The fourth proportional to 377.39, 565.99 and 160.99 is: 241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.39 : 565.99 = 160.99 : x
  2. Step 2: Convert to fraction form
    377.39/565.99 = 160.99/x
  3. Step 3: Cross multiply
    377.39x = 565.99 × 160.99
  4. Step 4: Simplify right side
    377.39x = 91,116.91
  5. Step 5: Solve for x
    x = 91,116.91/377.39
  6. Step 6: Final answer
    x = 241.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.