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Finding the Fourth Proportional to 455.93, 684.02 and 195.80

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Solution

The fourth proportional to 455.93, 684.02 and 195.80 is: 293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.93 : 684.02 = 195.80 : x
  2. Step 2: Convert to fraction form
    455.93/684.02 = 195.80/x
  3. Step 3: Cross multiply
    455.93x = 684.02 × 195.80
  4. Step 4: Simplify right side
    455.93x = 133,926.72
  5. Step 5: Solve for x
    x = 133,926.72/455.93
  6. Step 6: Final answer
    x = 293.75

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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.