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Finding the Fourth Proportional to 235.00, 352.10 and 166.19

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Solution

The fourth proportional to 235.00, 352.10 and 166.19 is: 249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.00 : 352.10 = 166.19 : x
  2. Step 2: Convert to fraction form
    235.00/352.10 = 166.19/x
  3. Step 3: Cross multiply
    235.00x = 352.10 × 166.19
  4. Step 4: Simplify right side
    235.00x = 58,515.03
  5. Step 5: Solve for x
    x = 58,515.03/235.00
  6. Step 6: Final answer
    x = 249.00

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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.