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Finding the Fourth Proportional to 224.54, 336.66 and 78.26

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Solution

The fourth proportional to 224.54, 336.66 and 78.26 is: 117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.54 : 336.66 = 78.26 : x
  2. Step 2: Convert to fraction form
    224.54/336.66 = 78.26/x
  3. Step 3: Cross multiply
    224.54x = 336.66 × 78.26
  4. Step 4: Simplify right side
    224.54x = 26,347.01
  5. Step 5: Solve for x
    x = 26,347.01/224.54
  6. Step 6: Final answer
    x = 117.34

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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.