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Finding the Fourth Proportional to 356.89, 535.11 and 202.81

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Solution

The fourth proportional to 356.89, 535.11 and 202.81 is: 304.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.89 : 535.11 = 202.81 : x
  2. Step 2: Convert to fraction form
    356.89/535.11 = 202.81/x
  3. Step 3: Cross multiply
    356.89x = 535.11 × 202.81
  4. Step 4: Simplify right side
    356.89x = 108,525.66
  5. Step 5: Solve for x
    x = 108,525.66/356.89
  6. Step 6: Final answer
    x = 304.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.