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Finding the Fourth Proportional to 412.80, 619.25 and 181.66

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Solution

The fourth proportional to 412.80, 619.25 and 181.66 is: 272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.80 : 619.25 = 181.66 : x
  2. Step 2: Convert to fraction form
    412.80/619.25 = 181.66/x
  3. Step 3: Cross multiply
    412.80x = 619.25 × 181.66
  4. Step 4: Simplify right side
    412.80x = 112,492.96
  5. Step 5: Solve for x
    x = 112,492.96/412.80
  6. Step 6: Final answer
    x = 272.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.