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Finding the Fourth Proportional to 352.06, 528.36 and 197.95

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Solution

The fourth proportional to 352.06, 528.36 and 197.95 is: 297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.06 : 528.36 = 197.95 : x
  2. Step 2: Convert to fraction form
    352.06/528.36 = 197.95/x
  3. Step 3: Cross multiply
    352.06x = 528.36 × 197.95
  4. Step 4: Simplify right side
    352.06x = 104,588.86
  5. Step 5: Solve for x
    x = 104,588.86/352.06
  6. Step 6: Final answer
    x = 297.08

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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.