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Finding the Fourth Proportional to 218.14, 300.75 and 178.65

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Solution

The fourth proportional to 218.14, 300.75 and 178.65 is: 246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.14 : 300.75 = 178.65 : x
  2. Step 2: Convert to fraction form
    218.14/300.75 = 178.65/x
  3. Step 3: Cross multiply
    218.14x = 300.75 × 178.65
  4. Step 4: Simplify right side
    218.14x = 53,730.19
  5. Step 5: Solve for x
    x = 53,730.19/218.14
  6. Step 6: Final answer
    x = 246.31

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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.