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Finding the Fourth Proportional to 357.54, 493.46 and 208.14

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Solution

The fourth proportional to 357.54, 493.46 and 208.14 is: 287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.54 : 493.46 = 208.14 : x
  2. Step 2: Convert to fraction form
    357.54/493.46 = 208.14/x
  3. Step 3: Cross multiply
    357.54x = 493.46 × 208.14
  4. Step 4: Simplify right side
    357.54x = 102,708.76
  5. Step 5: Solve for x
    x = 102,708.76/357.54
  6. Step 6: Final answer
    x = 287.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.