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Finding the Fourth Proportional to 224.26, 309.81 and 169

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Solution

The fourth proportional to 224.26, 309.81 and 169 is: 233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.26 : 309.81 = 169 : x
  2. Step 2: Convert to fraction form
    224.26/309.81 = 169/x
  3. Step 3: Cross multiply
    224.26x = 309.81 × 169
  4. Step 4: Simplify right side
    224.26x = 52,357.89
  5. Step 5: Solve for x
    x = 52,357.89/224.26
  6. Step 6: Final answer
    x = 233.47

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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.