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Finding the Fourth Proportional to 352.15, 528.32 and 164.53

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Solution

The fourth proportional to 352.15, 528.32 and 164.53 is: 246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.15 : 528.32 = 164.53 : x
  2. Step 2: Convert to fraction form
    352.15/528.32 = 164.53/x
  3. Step 3: Cross multiply
    352.15x = 528.32 × 164.53
  4. Step 4: Simplify right side
    352.15x = 86,925.56
  5. Step 5: Solve for x
    x = 86,925.56/352.15
  6. Step 6: Final answer
    x = 246.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.