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Finding the Fourth Proportional to 270.10, 405.15 and 133.03

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Solution

The fourth proportional to 270.10, 405.15 and 133.03 is: 199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.10 : 405.15 = 133.03 : x
  2. Step 2: Convert to fraction form
    270.10/405.15 = 133.03/x
  3. Step 3: Cross multiply
    270.10x = 405.15 × 133.03
  4. Step 4: Simplify right side
    270.10x = 53,895.08
  5. Step 5: Solve for x
    x = 53,895.08/270.10
  6. Step 6: Final answer
    x = 199.54

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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.