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Finding the Fourth Proportional to 330.16, 495.94 and 208.51

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Solution

The fourth proportional to 330.16, 495.94 and 208.51 is: 313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.16 : 495.94 = 208.51 : x
  2. Step 2: Convert to fraction form
    330.16/495.94 = 208.51/x
  3. Step 3: Cross multiply
    330.16x = 495.94 × 208.51
  4. Step 4: Simplify right side
    330.16x = 103,408.45
  5. Step 5: Solve for x
    x = 103,408.45/330.16
  6. Step 6: Final answer
    x = 313.21

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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.