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Finding the Fourth Proportional to 451.65, 677.49 and 208.14

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Solution

The fourth proportional to 451.65, 677.49 and 208.14 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.65 : 677.49 = 208.14 : x
  2. Step 2: Convert to fraction form
    451.65/677.49 = 208.14/x
  3. Step 3: Cross multiply
    451.65x = 677.49 × 208.14
  4. Step 4: Simplify right side
    451.65x = 141,012.77
  5. Step 5: Solve for x
    x = 141,012.77/451.65
  6. Step 6: Final answer
    x = 312.22

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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.