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Finding the Fourth Proportional to 307.94, 424.91 and 176.92

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Solution

The fourth proportional to 307.94, 424.91 and 176.92 is: 244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.94 : 424.91 = 176.92 : x
  2. Step 2: Convert to fraction form
    307.94/424.91 = 176.92/x
  3. Step 3: Cross multiply
    307.94x = 424.91 × 176.92
  4. Step 4: Simplify right side
    307.94x = 75,175.08
  5. Step 5: Solve for x
    x = 75,175.08/307.94
  6. Step 6: Final answer
    x = 244.12

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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.