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Finding the Fourth Proportional to 277.76, 416.50 and 104.31

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Solution

The fourth proportional to 277.76, 416.50 and 104.31 is: 156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.76 : 416.50 = 104.31 : x
  2. Step 2: Convert to fraction form
    277.76/416.50 = 104.31/x
  3. Step 3: Cross multiply
    277.76x = 416.50 × 104.31
  4. Step 4: Simplify right side
    277.76x = 43,445.12
  5. Step 5: Solve for x
    x = 43,445.12/277.76
  6. Step 6: Final answer
    x = 156.41

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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.