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Finding the Fourth Proportional to 319.99, 441.57 and 180.14

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Solution

The fourth proportional to 319.99, 441.57 and 180.14 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.99 : 441.57 = 180.14 : x
  2. Step 2: Convert to fraction form
    319.99/441.57 = 180.14/x
  3. Step 3: Cross multiply
    319.99x = 441.57 × 180.14
  4. Step 4: Simplify right side
    319.99x = 79,544.42
  5. Step 5: Solve for x
    x = 79,544.42/319.99
  6. Step 6: Final answer
    x = 248.58

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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.