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Finding the Fourth Proportional to 209.83, 314.82 and 101.69

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Solution

The fourth proportional to 209.83, 314.82 and 101.69 is: 152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.83 : 314.82 = 101.69 : x
  2. Step 2: Convert to fraction form
    209.83/314.82 = 101.69/x
  3. Step 3: Cross multiply
    209.83x = 314.82 × 101.69
  4. Step 4: Simplify right side
    209.83x = 32,014.05
  5. Step 5: Solve for x
    x = 32,014.05/209.83
  6. Step 6: Final answer
    x = 152.57

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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.