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Finding the Fourth Proportional to 608.82, 913.14 and 175.86

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Solution

The fourth proportional to 608.82, 913.14 and 175.86 is: 263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.82 : 913.14 = 175.86 : x
  2. Step 2: Convert to fraction form
    608.82/913.14 = 175.86/x
  3. Step 3: Cross multiply
    608.82x = 913.14 × 175.86
  4. Step 4: Simplify right side
    608.82x = 160,584.80
  5. Step 5: Solve for x
    x = 160,584.80/608.82
  6. Step 6: Final answer
    x = 263.76

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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.