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Finding the Fourth Proportional to 209.77, 313.12 and 192.46

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Solution

The fourth proportional to 209.77, 313.12 and 192.46 is: 287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.77 : 313.12 = 192.46 : x
  2. Step 2: Convert to fraction form
    209.77/313.12 = 192.46/x
  3. Step 3: Cross multiply
    209.77x = 313.12 × 192.46
  4. Step 4: Simplify right side
    209.77x = 60,261.51
  5. Step 5: Solve for x
    x = 60,261.51/209.77
  6. Step 6: Final answer
    x = 287.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.