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Finding the Fourth Proportional to 516.98, 775.78 and 192.58

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Solution

The fourth proportional to 516.98, 775.78 and 192.58 is: 288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.98 : 775.78 = 192.58 : x
  2. Step 2: Convert to fraction form
    516.98/775.78 = 192.58/x
  3. Step 3: Cross multiply
    516.98x = 775.78 × 192.58
  4. Step 4: Simplify right side
    516.98x = 149,397.29
  5. Step 5: Solve for x
    x = 149,397.29/516.98
  6. Step 6: Final answer
    x = 288.98

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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.