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Finding the Fourth Proportional to 277.39, 416.13 and 104.16

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Solution

The fourth proportional to 277.39, 416.13 and 104.16 is: 156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.39 : 416.13 = 104.16 : x
  2. Step 2: Convert to fraction form
    277.39/416.13 = 104.16/x
  3. Step 3: Cross multiply
    277.39x = 416.13 × 104.16
  4. Step 4: Simplify right side
    277.39x = 43,345.27
  5. Step 5: Solve for x
    x = 43,345.27/277.39
  6. Step 6: Final answer
    x = 156.26

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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.