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Finding the Fourth Proportional to 218.32, 327.32 and 186.48

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Solution

The fourth proportional to 218.32, 327.32 and 186.48 is: 279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.32 : 327.32 = 186.48 : x
  2. Step 2: Convert to fraction form
    218.32/327.32 = 186.48/x
  3. Step 3: Cross multiply
    218.32x = 327.32 × 186.48
  4. Step 4: Simplify right side
    218.32x = 61,038.63
  5. Step 5: Solve for x
    x = 61,038.63/218.32
  6. Step 6: Final answer
    x = 279.58

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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.