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Finding the Fourth Proportional to 277.23, 416.05 and 133.05

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Solution

The fourth proportional to 277.23, 416.05 and 133.05 is: 199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.23 : 416.05 = 133.05 : x
  2. Step 2: Convert to fraction form
    277.23/416.05 = 133.05/x
  3. Step 3: Cross multiply
    277.23x = 416.05 × 133.05
  4. Step 4: Simplify right side
    277.23x = 55,355.12
  5. Step 5: Solve for x
    x = 55,355.12/277.23
  6. Step 6: Final answer
    x = 199.67

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Why These Related Problems?

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