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Finding the Fourth Proportional to 353.56, 487.86 and 202.14

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Solution

The fourth proportional to 353.56, 487.86 and 202.14 is: 278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.56 : 487.86 = 202.14 : x
  2. Step 2: Convert to fraction form
    353.56/487.86 = 202.14/x
  3. Step 3: Cross multiply
    353.56x = 487.86 × 202.14
  4. Step 4: Simplify right side
    353.56x = 98,617.60
  5. Step 5: Solve for x
    x = 98,617.60/353.56
  6. Step 6: Final answer
    x = 278.93

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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.