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Finding the Fourth Proportional to 357.80, 493.82 and 218.06

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Solution

The fourth proportional to 357.80, 493.82 and 218.06 is: 300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.80 : 493.82 = 218.06 : x
  2. Step 2: Convert to fraction form
    357.80/493.82 = 218.06/x
  3. Step 3: Cross multiply
    357.80x = 493.82 × 218.06
  4. Step 4: Simplify right side
    357.80x = 107,682.39
  5. Step 5: Solve for x
    x = 107,682.39/357.80
  6. Step 6: Final answer
    x = 300.96

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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.