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Finding the Fourth Proportional to 514.86, 772.14 and 190.32

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Solution

The fourth proportional to 514.86, 772.14 and 190.32 is: 285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.86 : 772.14 = 190.32 : x
  2. Step 2: Convert to fraction form
    514.86/772.14 = 190.32/x
  3. Step 3: Cross multiply
    514.86x = 772.14 × 190.32
  4. Step 4: Simplify right side
    514.86x = 146,953.68
  5. Step 5: Solve for x
    x = 146,953.68/514.86
  6. Step 6: Final answer
    x = 285.42

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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.