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Finding the Fourth Proportional to 318.58, 478.09 and 196.93

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Solution

The fourth proportional to 318.58, 478.09 and 196.93 is: 295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.58 : 478.09 = 196.93 : x
  2. Step 2: Convert to fraction form
    318.58/478.09 = 196.93/x
  3. Step 3: Cross multiply
    318.58x = 478.09 × 196.93
  4. Step 4: Simplify right side
    318.58x = 94,150.00
  5. Step 5: Solve for x
    x = 94,150.00/318.58
  6. Step 6: Final answer
    x = 295.53

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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.