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Finding the Fourth Proportional to 224.18, 309.07 and 186.68

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Solution

The fourth proportional to 224.18, 309.07 and 186.68 is: 257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.18 : 309.07 = 186.68 : x
  2. Step 2: Convert to fraction form
    224.18/309.07 = 186.68/x
  3. Step 3: Cross multiply
    224.18x = 309.07 × 186.68
  4. Step 4: Simplify right side
    224.18x = 57,697.19
  5. Step 5: Solve for x
    x = 57,697.19/224.18
  6. Step 6: Final answer
    x = 257.37

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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.