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Finding the Fourth Proportional to 357.00, 492.62 and 199.63

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Solution

The fourth proportional to 357.00, 492.62 and 199.63 is: 275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.00 : 492.62 = 199.63 : x
  2. Step 2: Convert to fraction form
    357.00/492.62 = 199.63/x
  3. Step 3: Cross multiply
    357.00x = 492.62 × 199.63
  4. Step 4: Simplify right side
    357.00x = 98,340.52
  5. Step 5: Solve for x
    x = 98,340.52/357.00
  6. Step 6: Final answer
    x = 275.46

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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.