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Finding the Fourth Proportional to 209.00, 312.93 and 106.31

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Solution

The fourth proportional to 209.00, 312.93 and 106.31 is: 159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.00 : 312.93 = 106.31 : x
  2. Step 2: Convert to fraction form
    209.00/312.93 = 106.31/x
  3. Step 3: Cross multiply
    209.00x = 312.93 × 106.31
  4. Step 4: Simplify right side
    209.00x = 33,268.37
  5. Step 5: Solve for x
    x = 33,268.37/209.00
  6. Step 6: Final answer
    x = 159.18

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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.