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Finding the Fourth Proportional to 365.37, 504.26 and 208.06

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Solution

The fourth proportional to 365.37, 504.26 and 208.06 is: 287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.37 : 504.26 = 208.06 : x
  2. Step 2: Convert to fraction form
    365.37/504.26 = 208.06/x
  3. Step 3: Cross multiply
    365.37x = 504.26 × 208.06
  4. Step 4: Simplify right side
    365.37x = 104,914.81
  5. Step 5: Solve for x
    x = 104,914.81/365.37
  6. Step 6: Final answer
    x = 287.14

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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.