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Finding the Fourth Proportional to 357.67, 493.50 and 202.42

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Solution

The fourth proportional to 357.67, 493.50 and 202.42 is: 279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.67 : 493.50 = 202.42 : x
  2. Step 2: Convert to fraction form
    357.67/493.50 = 202.42/x
  3. Step 3: Cross multiply
    357.67x = 493.50 × 202.42
  4. Step 4: Simplify right side
    357.67x = 99,894.27
  5. Step 5: Solve for x
    x = 99,894.27/357.67
  6. Step 6: Final answer
    x = 279.29

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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.