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Finding the Fourth Proportional to 223.39, 307.96 and 149.55

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Solution

The fourth proportional to 223.39, 307.96 and 149.55 is: 206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.39 : 307.96 = 149.55 : x
  2. Step 2: Convert to fraction form
    223.39/307.96 = 149.55/x
  3. Step 3: Cross multiply
    223.39x = 307.96 × 149.55
  4. Step 4: Simplify right side
    223.39x = 46,055.42
  5. Step 5: Solve for x
    x = 46,055.42/223.39
  6. Step 6: Final answer
    x = 206.17

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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.