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Finding the Fourth Proportional to 343.08, 514.59 and 96.28

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Solution

The fourth proportional to 343.08, 514.59 and 96.28 is: 144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.08 : 514.59 = 96.28 : x
  2. Step 2: Convert to fraction form
    343.08/514.59 = 96.28/x
  3. Step 3: Cross multiply
    343.08x = 514.59 × 96.28
  4. Step 4: Simplify right side
    343.08x = 49,544.73
  5. Step 5: Solve for x
    x = 49,544.73/343.08
  6. Step 6: Final answer
    x = 144.41

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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.