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Finding the Fourth Proportional to 357.52, 493.34 and 202.24

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Solution

The fourth proportional to 357.52, 493.34 and 202.24 is: 279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.52 : 493.34 = 202.24 : x
  2. Step 2: Convert to fraction form
    357.52/493.34 = 202.24/x
  3. Step 3: Cross multiply
    357.52x = 493.34 × 202.24
  4. Step 4: Simplify right side
    357.52x = 99,773.08
  5. Step 5: Solve for x
    x = 99,773.08/357.52
  6. Step 6: Final answer
    x = 279.07

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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.