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Finding the Fourth Proportional to 209.93, 314.69 and 100.21

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Solution

The fourth proportional to 209.93, 314.69 and 100.21 is: 150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.93 : 314.69 = 100.21 : x
  2. Step 2: Convert to fraction form
    209.93/314.69 = 100.21/x
  3. Step 3: Cross multiply
    209.93x = 314.69 × 100.21
  4. Step 4: Simplify right side
    209.93x = 31,534.98
  5. Step 5: Solve for x
    x = 31,534.98/209.93
  6. Step 6: Final answer
    x = 150.22

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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.