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Finding the Fourth Proportional to 209.98, 314.16 and 164.01

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Solution

The fourth proportional to 209.98, 314.16 and 164.01 is: 245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.98 : 314.16 = 164.01 : x
  2. Step 2: Convert to fraction form
    209.98/314.16 = 164.01/x
  3. Step 3: Cross multiply
    209.98x = 314.16 × 164.01
  4. Step 4: Simplify right side
    209.98x = 51,525.38
  5. Step 5: Solve for x
    x = 51,525.38/209.98
  6. Step 6: Final answer
    x = 245.38

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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.