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Finding the Fourth Proportional to 352.19, 486.07 and 234.16

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Solution

The fourth proportional to 352.19, 486.07 and 234.16 is: 323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.19 : 486.07 = 234.16 : x
  2. Step 2: Convert to fraction form
    352.19/486.07 = 234.16/x
  3. Step 3: Cross multiply
    352.19x = 486.07 × 234.16
  4. Step 4: Simplify right side
    352.19x = 113,816.35
  5. Step 5: Solve for x
    x = 113,816.35/352.19
  6. Step 6: Final answer
    x = 323.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.