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Finding the Fourth Proportional to 209.75, 314.30 and 141.01

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Solution

The fourth proportional to 209.75, 314.30 and 141.01 is: 211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 314.30 = 141.01 : x
  2. Step 2: Convert to fraction form
    209.75/314.30 = 141.01/x
  3. Step 3: Cross multiply
    209.75x = 314.30 × 141.01
  4. Step 4: Simplify right side
    209.75x = 44,319.44
  5. Step 5: Solve for x
    x = 44,319.44/209.75
  6. Step 6: Final answer
    x = 211.30

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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.