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Finding the Fourth Proportional to 303.86, 419.40 and 179.60

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Solution

The fourth proportional to 303.86, 419.40 and 179.60 is: 247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.86 : 419.40 = 179.60 : x
  2. Step 2: Convert to fraction form
    303.86/419.40 = 179.60/x
  3. Step 3: Cross multiply
    303.86x = 419.40 × 179.60
  4. Step 4: Simplify right side
    303.86x = 75,322.14
  5. Step 5: Solve for x
    x = 75,322.14/303.86
  6. Step 6: Final answer
    x = 247.89

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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.