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Finding the Fourth Proportional to 357.09, 492.74 and 199.72

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Solution

The fourth proportional to 357.09, 492.74 and 199.72 is: 275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.09 : 492.74 = 199.72 : x
  2. Step 2: Convert to fraction form
    357.09/492.74 = 199.72/x
  3. Step 3: Cross multiply
    357.09x = 492.74 × 199.72
  4. Step 4: Simplify right side
    357.09x = 98,410.03
  5. Step 5: Solve for x
    x = 98,410.03/357.09
  6. Step 6: Final answer
    x = 275.59

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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.