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Finding the Fourth Proportional to 307.96, 462.04 and 170.94

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Solution

The fourth proportional to 307.96, 462.04 and 170.94 is: 256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.96 : 462.04 = 170.94 : x
  2. Step 2: Convert to fraction form
    307.96/462.04 = 170.94/x
  3. Step 3: Cross multiply
    307.96x = 462.04 × 170.94
  4. Step 4: Simplify right side
    307.96x = 78,981.12
  5. Step 5: Solve for x
    x = 78,981.12/307.96
  6. Step 6: Final answer
    x = 256.47

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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.