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Finding the Fourth Proportional to 357.84, 493.83 and 198.35

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Solution

The fourth proportional to 357.84, 493.83 and 198.35 is: 273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.84 : 493.83 = 198.35 : x
  2. Step 2: Convert to fraction form
    357.84/493.83 = 198.35/x
  3. Step 3: Cross multiply
    357.84x = 493.83 × 198.35
  4. Step 4: Simplify right side
    357.84x = 97,948.71
  5. Step 5: Solve for x
    x = 97,948.71/357.84
  6. Step 6: Final answer
    x = 273.72

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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.