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Finding the Fourth Proportional to 235.94, 354 and 209.12

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Solution

The fourth proportional to 235.94, 354 and 209.12 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.94 : 354 = 209.12 : x
  2. Step 2: Convert to fraction form
    235.94/354 = 209.12/x
  3. Step 3: Cross multiply
    235.94x = 354 × 209.12
  4. Step 4: Simplify right side
    235.94x = 74,028.48
  5. Step 5: Solve for x
    x = 74,028.48/235.94
  6. Step 6: Final answer
    x = 313.76

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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.