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Finding the Fourth Proportional to 455.19, 682.97 and 195.24

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Solution

The fourth proportional to 455.19, 682.97 and 195.24 is: 292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.19 : 682.97 = 195.24 : x
  2. Step 2: Convert to fraction form
    455.19/682.97 = 195.24/x
  3. Step 3: Cross multiply
    455.19x = 682.97 × 195.24
  4. Step 4: Simplify right side
    455.19x = 133,343.06
  5. Step 5: Solve for x
    x = 133,343.06/455.19
  6. Step 6: Final answer
    x = 292.94

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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.