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Finding the Fourth Proportional to 352.27, 528.26 and 146.93

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Solution

The fourth proportional to 352.27, 528.26 and 146.93 is: 220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.27 : 528.26 = 146.93 : x
  2. Step 2: Convert to fraction form
    352.27/528.26 = 146.93/x
  3. Step 3: Cross multiply
    352.27x = 528.26 × 146.93
  4. Step 4: Simplify right side
    352.27x = 77,617.24
  5. Step 5: Solve for x
    x = 77,617.24/352.27
  6. Step 6: Final answer
    x = 220.34

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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.