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Finding the Fourth Proportional to 350.94, 525.84 and 229.14

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Solution

The fourth proportional to 350.94, 525.84 and 229.14 is: 343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.94 : 525.84 = 229.14 : x
  2. Step 2: Convert to fraction form
    350.94/525.84 = 229.14/x
  3. Step 3: Cross multiply
    350.94x = 525.84 × 229.14
  4. Step 4: Simplify right side
    350.94x = 120,490.98
  5. Step 5: Solve for x
    x = 120,490.98/350.94
  6. Step 6: Final answer
    x = 343.34

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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.