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Finding the Fourth Proportional to 277.48, 416.09 and 104.02

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Solution

The fourth proportional to 277.48, 416.09 and 104.02 is: 155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.48 : 416.09 = 104.02 : x
  2. Step 2: Convert to fraction form
    277.48/416.09 = 104.02/x
  3. Step 3: Cross multiply
    277.48x = 416.09 × 104.02
  4. Step 4: Simplify right side
    277.48x = 43,283.22
  5. Step 5: Solve for x
    x = 43,283.22/277.48
  6. Step 6: Final answer
    x = 155.99

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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.