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Finding the Fourth Proportional to 277.25, 416.07 and 106.25

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Solution

The fourth proportional to 277.25, 416.07 and 106.25 is: 159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.25 : 416.07 = 106.25 : x
  2. Step 2: Convert to fraction form
    277.25/416.07 = 106.25/x
  3. Step 3: Cross multiply
    277.25x = 416.07 × 106.25
  4. Step 4: Simplify right side
    277.25x = 44,207.44
  5. Step 5: Solve for x
    x = 44,207.44/277.25
  6. Step 6: Final answer
    x = 159.45

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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.