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Finding the Fourth Proportional to 619.92, 929.65 and 181.06

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Solution

The fourth proportional to 619.92, 929.65 and 181.06 is: 271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.92 : 929.65 = 181.06 : x
  2. Step 2: Convert to fraction form
    619.92/929.65 = 181.06/x
  3. Step 3: Cross multiply
    619.92x = 929.65 × 181.06
  4. Step 4: Simplify right side
    619.92x = 168,318.43
  5. Step 5: Solve for x
    x = 168,318.43/619.92
  6. Step 6: Final answer
    x = 271.52

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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.