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Finding the Fourth Proportional to 218.44, 325.91 and 174.31

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Solution

The fourth proportional to 218.44, 325.91 and 174.31 is: 260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.44 : 325.91 = 174.31 : x
  2. Step 2: Convert to fraction form
    218.44/325.91 = 174.31/x
  3. Step 3: Cross multiply
    218.44x = 325.91 × 174.31
  4. Step 4: Simplify right side
    218.44x = 56,809.37
  5. Step 5: Solve for x
    x = 56,809.37/218.44
  6. Step 6: Final answer
    x = 260.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.