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Finding the Fourth Proportional to 223.81, 309.02 and 145.24

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Solution

The fourth proportional to 223.81, 309.02 and 145.24 is: 200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.81 : 309.02 = 145.24 : x
  2. Step 2: Convert to fraction form
    223.81/309.02 = 145.24/x
  3. Step 3: Cross multiply
    223.81x = 309.02 × 145.24
  4. Step 4: Simplify right side
    223.81x = 44,880.57
  5. Step 5: Solve for x
    x = 44,880.57/223.81
  6. Step 6: Final answer
    x = 200.53

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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.