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Finding the Fourth Proportional to 350.45, 483.63 and 193.09

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Solution

The fourth proportional to 350.45, 483.63 and 193.09 is: 266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.45 : 483.63 = 193.09 : x
  2. Step 2: Convert to fraction form
    350.45/483.63 = 193.09/x
  3. Step 3: Cross multiply
    350.45x = 483.63 × 193.09
  4. Step 4: Simplify right side
    350.45x = 93,384.12
  5. Step 5: Solve for x
    x = 93,384.12/350.45
  6. Step 6: Final answer
    x = 266.47

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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.