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Finding the Fourth Proportional to 357.98, 493.88 and 218.04

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Solution

The fourth proportional to 357.98, 493.88 and 218.04 is: 300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.98 : 493.88 = 218.04 : x
  2. Step 2: Convert to fraction form
    357.98/493.88 = 218.04/x
  3. Step 3: Cross multiply
    357.98x = 493.88 × 218.04
  4. Step 4: Simplify right side
    357.98x = 107,684.51
  5. Step 5: Solve for x
    x = 107,684.51/357.98
  6. Step 6: Final answer
    x = 300.82

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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.