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Finding the Fourth Proportional to 353.16, 528.84 and 190.44

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Solution

The fourth proportional to 353.16, 528.84 and 190.44 is: 285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.16 : 528.84 = 190.44 : x
  2. Step 2: Convert to fraction form
    353.16/528.84 = 190.44/x
  3. Step 3: Cross multiply
    353.16x = 528.84 × 190.44
  4. Step 4: Simplify right side
    353.16x = 100,712.29
  5. Step 5: Solve for x
    x = 100,712.29/353.16
  6. Step 6: Final answer
    x = 285.17

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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.