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Finding the Fourth Proportional to 303.87, 419.30 and 177.80

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Solution

The fourth proportional to 303.87, 419.30 and 177.80 is: 245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.87 : 419.30 = 177.80 : x
  2. Step 2: Convert to fraction form
    303.87/419.30 = 177.80/x
  3. Step 3: Cross multiply
    303.87x = 419.30 × 177.80
  4. Step 4: Simplify right side
    303.87x = 74,548.55
  5. Step 5: Solve for x
    x = 74,548.55/303.87
  6. Step 6: Final answer
    x = 245.33

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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.