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Finding the Fourth Proportional to 357.88, 493.94 and 202.63

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Solution

The fourth proportional to 357.88, 493.94 and 202.63 is: 279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.88 : 493.94 = 202.63 : x
  2. Step 2: Convert to fraction form
    357.88/493.94 = 202.63/x
  3. Step 3: Cross multiply
    357.88x = 493.94 × 202.63
  4. Step 4: Simplify right side
    357.88x = 100,083.58
  5. Step 5: Solve for x
    x = 100,083.58/357.88
  6. Step 6: Final answer
    x = 279.66

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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.