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Finding the Fourth Proportional to 277.26, 382.34 and 172.32

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Solution

The fourth proportional to 277.26, 382.34 and 172.32 is: 237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.26 : 382.34 = 172.32 : x
  2. Step 2: Convert to fraction form
    277.26/382.34 = 172.32/x
  3. Step 3: Cross multiply
    277.26x = 382.34 × 172.32
  4. Step 4: Simplify right side
    277.26x = 65,884.83
  5. Step 5: Solve for x
    x = 65,884.83/277.26
  6. Step 6: Final answer
    x = 237.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.