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Finding the Fourth Proportional to 307.66, 424.36 and 195.48

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Solution

The fourth proportional to 307.66, 424.36 and 195.48 is: 269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.66 : 424.36 = 195.48 : x
  2. Step 2: Convert to fraction form
    307.66/424.36 = 195.48/x
  3. Step 3: Cross multiply
    307.66x = 424.36 × 195.48
  4. Step 4: Simplify right side
    307.66x = 82,950.79
  5. Step 5: Solve for x
    x = 82,950.79/307.66
  6. Step 6: Final answer
    x = 269.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.