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Finding the Fourth Proportional to 515.16, 772.66 and 190.46

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Solution

The fourth proportional to 515.16, 772.66 and 190.46 is: 285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.16 : 772.66 = 190.46 : x
  2. Step 2: Convert to fraction form
    515.16/772.66 = 190.46/x
  3. Step 3: Cross multiply
    515.16x = 772.66 × 190.46
  4. Step 4: Simplify right side
    515.16x = 147,160.82
  5. Step 5: Solve for x
    x = 147,160.82/515.16
  6. Step 6: Final answer
    x = 285.66

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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.