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Finding the Fourth Proportional to 305.52, 421.50 and 181.16

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Solution

The fourth proportional to 305.52, 421.50 and 181.16 is: 249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.52 : 421.50 = 181.16 : x
  2. Step 2: Convert to fraction form
    305.52/421.50 = 181.16/x
  3. Step 3: Cross multiply
    305.52x = 421.50 × 181.16
  4. Step 4: Simplify right side
    305.52x = 76,356.83
  5. Step 5: Solve for x
    x = 76,356.83/305.52
  6. Step 6: Final answer
    x = 249.92

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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.