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Finding the Fourth Proportional to 209.02, 313.18 and 147.85

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Solution

The fourth proportional to 209.02, 313.18 and 147.85 is: 221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.02 : 313.18 = 147.85 : x
  2. Step 2: Convert to fraction form
    209.02/313.18 = 147.85/x
  3. Step 3: Cross multiply
    209.02x = 313.18 × 147.85
  4. Step 4: Simplify right side
    209.02x = 46,303.66
  5. Step 5: Solve for x
    x = 46,303.66/209.02
  6. Step 6: Final answer
    x = 221.53

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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.