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Finding the Fourth Proportional to 352.42, 528.32 and 135.84

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Solution

The fourth proportional to 352.42, 528.32 and 135.84 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.42 : 528.32 = 135.84 : x
  2. Step 2: Convert to fraction form
    352.42/528.32 = 135.84/x
  3. Step 3: Cross multiply
    352.42x = 528.32 × 135.84
  4. Step 4: Simplify right side
    352.42x = 71,769.31
  5. Step 5: Solve for x
    x = 71,769.31/352.42
  6. Step 6: Final answer
    x = 203.65

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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.