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Finding the Fourth Proportional to 304.93, 420.72 and 180.55

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Solution

The fourth proportional to 304.93, 420.72 and 180.55 is: 249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.93 : 420.72 = 180.55 : x
  2. Step 2: Convert to fraction form
    304.93/420.72 = 180.55/x
  3. Step 3: Cross multiply
    304.93x = 420.72 × 180.55
  4. Step 4: Simplify right side
    304.93x = 75,961.00
  5. Step 5: Solve for x
    x = 75,961.00/304.93
  6. Step 6: Final answer
    x = 249.11

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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.