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Finding the Fourth Proportional to 277.66, 416.49 and 72.23

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Solution

The fourth proportional to 277.66, 416.49 and 72.23 is: 108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.66 : 416.49 = 72.23 : x
  2. Step 2: Convert to fraction form
    277.66/416.49 = 72.23/x
  3. Step 3: Cross multiply
    277.66x = 416.49 × 72.23
  4. Step 4: Simplify right side
    277.66x = 30,080.63
  5. Step 5: Solve for x
    x = 30,080.63/277.66
  6. Step 6: Final answer
    x = 108.34

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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.