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Finding the Fourth Proportional to 357.28, 493.05 and 199.95

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Solution

The fourth proportional to 357.28, 493.05 and 199.95 is: 275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.28 : 493.05 = 199.95 : x
  2. Step 2: Convert to fraction form
    357.28/493.05 = 199.95/x
  3. Step 3: Cross multiply
    357.28x = 493.05 × 199.95
  4. Step 4: Simplify right side
    357.28x = 98,585.35
  5. Step 5: Solve for x
    x = 98,585.35/357.28
  6. Step 6: Final answer
    x = 275.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.