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Finding the Fourth Proportional to 234.04, 352.64 and 209.17

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Solution

The fourth proportional to 234.04, 352.64 and 209.17 is: 315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.04 : 352.64 = 209.17 : x
  2. Step 2: Convert to fraction form
    234.04/352.64 = 209.17/x
  3. Step 3: Cross multiply
    234.04x = 352.64 × 209.17
  4. Step 4: Simplify right side
    234.04x = 73,759.51
  5. Step 5: Solve for x
    x = 73,759.51/234.04
  6. Step 6: Final answer
    x = 315.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.