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Finding the Fourth Proportional to 223.93, 309.36 and 150.22

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Solution

The fourth proportional to 223.93, 309.36 and 150.22 is: 207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.93 : 309.36 = 150.22 : x
  2. Step 2: Convert to fraction form
    223.93/309.36 = 150.22/x
  3. Step 3: Cross multiply
    223.93x = 309.36 × 150.22
  4. Step 4: Simplify right side
    223.93x = 46,472.06
  5. Step 5: Solve for x
    x = 46,472.06/223.93
  6. Step 6: Final answer
    x = 207.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.