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Finding the Fourth Proportional to 357.19, 492.94 and 199.82

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Solution

The fourth proportional to 357.19, 492.94 and 199.82 is: 275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.19 : 492.94 = 199.82 : x
  2. Step 2: Convert to fraction form
    357.19/492.94 = 199.82/x
  3. Step 3: Cross multiply
    357.19x = 492.94 × 199.82
  4. Step 4: Simplify right side
    357.19x = 98,496.86
  5. Step 5: Solve for x
    x = 98,496.86/357.19
  6. Step 6: Final answer
    x = 275.75

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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.