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Finding the Fourth Proportional to 307.94, 424.92 and 176.96

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Solution

The fourth proportional to 307.94, 424.92 and 176.96 is: 244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.94 : 424.92 = 176.96 : x
  2. Step 2: Convert to fraction form
    307.94/424.92 = 176.96/x
  3. Step 3: Cross multiply
    307.94x = 424.92 × 176.96
  4. Step 4: Simplify right side
    307.94x = 75,193.84
  5. Step 5: Solve for x
    x = 75,193.84/307.94
  6. Step 6: Final answer
    x = 244.18

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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.