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Finding the Fourth Proportional to 352.48, 528.82 and 147.08

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Solution

The fourth proportional to 352.48, 528.82 and 147.08 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.48 : 528.82 = 147.08 : x
  2. Step 2: Convert to fraction form
    352.48/528.82 = 147.08/x
  3. Step 3: Cross multiply
    352.48x = 528.82 × 147.08
  4. Step 4: Simplify right side
    352.48x = 77,778.85
  5. Step 5: Solve for x
    x = 77,778.85/352.48
  6. Step 6: Final answer
    x = 220.66

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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.