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Finding the Fourth Proportional to 356.23, 533.43 and 193.15

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Solution

The fourth proportional to 356.23, 533.43 and 193.15 is: 289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.23 : 533.43 = 193.15 : x
  2. Step 2: Convert to fraction form
    356.23/533.43 = 193.15/x
  3. Step 3: Cross multiply
    356.23x = 533.43 × 193.15
  4. Step 4: Simplify right side
    356.23x = 103,032.00
  5. Step 5: Solve for x
    x = 103,032.00/356.23
  6. Step 6: Final answer
    x = 289.23

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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.