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Finding the Fourth Proportional to 352.86, 528.81 and 198.72

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Solution

The fourth proportional to 352.86, 528.81 and 198.72 is: 297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.86 : 528.81 = 198.72 : x
  2. Step 2: Convert to fraction form
    352.86/528.81 = 198.72/x
  3. Step 3: Cross multiply
    352.86x = 528.81 × 198.72
  4. Step 4: Simplify right side
    352.86x = 105,085.12
  5. Step 5: Solve for x
    x = 105,085.12/352.86
  6. Step 6: Final answer
    x = 297.81

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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.