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Finding the Fourth Proportional to 224.36, 336.59 and 114.70

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Solution

The fourth proportional to 224.36, 336.59 and 114.70 is: 172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.36 : 336.59 = 114.70 : x
  2. Step 2: Convert to fraction form
    224.36/336.59 = 114.70/x
  3. Step 3: Cross multiply
    224.36x = 336.59 × 114.70
  4. Step 4: Simplify right side
    224.36x = 38,608.42
  5. Step 5: Solve for x
    x = 38,608.42/224.36
  6. Step 6: Final answer
    x = 172.08

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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.