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Finding the Fourth Proportional to 352.89, 529.32 and 136.53

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Solution

The fourth proportional to 352.89, 529.32 and 136.53 is: 204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.89 : 529.32 = 136.53 : x
  2. Step 2: Convert to fraction form
    352.89/529.32 = 136.53/x
  3. Step 3: Cross multiply
    352.89x = 529.32 × 136.53
  4. Step 4: Simplify right side
    352.89x = 72,268.06
  5. Step 5: Solve for x
    x = 72,268.06/352.89
  6. Step 6: Final answer
    x = 204.79

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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.