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Finding the Fourth Proportional to 305.50, 421.50 and 181.08

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Solution

The fourth proportional to 305.50, 421.50 and 181.08 is: 249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.50 : 421.50 = 181.08 : x
  2. Step 2: Convert to fraction form
    305.50/421.50 = 181.08/x
  3. Step 3: Cross multiply
    305.50x = 421.50 × 181.08
  4. Step 4: Simplify right side
    305.50x = 76,325.22
  5. Step 5: Solve for x
    x = 76,325.22/305.50
  6. Step 6: Final answer
    x = 249.84

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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.