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Finding the Fourth Proportional to 352.13, 528.36 and 178.77

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Solution

The fourth proportional to 352.13, 528.36 and 178.77 is: 268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.13 : 528.36 = 178.77 : x
  2. Step 2: Convert to fraction form
    352.13/528.36 = 178.77/x
  3. Step 3: Cross multiply
    352.13x = 528.36 × 178.77
  4. Step 4: Simplify right side
    352.13x = 94,456.23
  5. Step 5: Solve for x
    x = 94,456.23/352.13
  6. Step 6: Final answer
    x = 268.24

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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.