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Finding the Fourth Proportional to 277.22, 416.07 and 149.06

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Solution

The fourth proportional to 277.22, 416.07 and 149.06 is: 223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.22 : 416.07 = 149.06 : x
  2. Step 2: Convert to fraction form
    277.22/416.07 = 149.06/x
  3. Step 3: Cross multiply
    277.22x = 416.07 × 149.06
  4. Step 4: Simplify right side
    277.22x = 62,019.39
  5. Step 5: Solve for x
    x = 62,019.39/277.22
  6. Step 6: Final answer
    x = 223.72

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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.