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Finding the Fourth Proportional to 351.87, 528.05 and 146.63

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Solution

The fourth proportional to 351.87, 528.05 and 146.63 is: 220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.87 : 528.05 = 146.63 : x
  2. Step 2: Convert to fraction form
    351.87/528.05 = 146.63/x
  3. Step 3: Cross multiply
    351.87x = 528.05 × 146.63
  4. Step 4: Simplify right side
    351.87x = 77,427.97
  5. Step 5: Solve for x
    x = 77,427.97/351.87
  6. Step 6: Final answer
    x = 220.05

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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.