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Finding the Fourth Proportional to 357.94, 493.98 and 202.70

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Solution

The fourth proportional to 357.94, 493.98 and 202.70 is: 279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.94 : 493.98 = 202.70 : x
  2. Step 2: Convert to fraction form
    357.94/493.98 = 202.70/x
  3. Step 3: Cross multiply
    357.94x = 493.98 × 202.70
  4. Step 4: Simplify right side
    357.94x = 100,129.75
  5. Step 5: Solve for x
    x = 100,129.75/357.94
  6. Step 6: Final answer
    x = 279.74

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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.