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Finding the Fourth Proportional to 277.55, 416.37 and 113.06

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Solution

The fourth proportional to 277.55, 416.37 and 113.06 is: 169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.55 : 416.37 = 113.06 : x
  2. Step 2: Convert to fraction form
    277.55/416.37 = 113.06/x
  3. Step 3: Cross multiply
    277.55x = 416.37 × 113.06
  4. Step 4: Simplify right side
    277.55x = 47,072.71
  5. Step 5: Solve for x
    x = 47,072.71/277.55
  6. Step 6: Final answer
    x = 169.60

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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.