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Finding the Fourth Proportional to 352.77, 528.79 and 147.16

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Solution

The fourth proportional to 352.77, 528.79 and 147.16 is: 220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.77 : 528.79 = 147.16 : x
  2. Step 2: Convert to fraction form
    352.77/528.79 = 147.16/x
  3. Step 3: Cross multiply
    352.77x = 528.79 × 147.16
  4. Step 4: Simplify right side
    352.77x = 77,816.74
  5. Step 5: Solve for x
    x = 77,816.74/352.77
  6. Step 6: Final answer
    x = 220.59

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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.