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Finding the Fourth Proportional to 351.08, 525.59 and 204.38

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Solution

The fourth proportional to 351.08, 525.59 and 204.38 is: 305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.08 : 525.59 = 204.38 : x
  2. Step 2: Convert to fraction form
    351.08/525.59 = 204.38/x
  3. Step 3: Cross multiply
    351.08x = 525.59 × 204.38
  4. Step 4: Simplify right side
    351.08x = 107,419.28
  5. Step 5: Solve for x
    x = 107,419.28/351.08
  6. Step 6: Final answer
    x = 305.97

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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.