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Finding the Fourth Proportional to 223.89, 309.06 and 150.35

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Solution

The fourth proportional to 223.89, 309.06 and 150.35 is: 207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.89 : 309.06 = 150.35 : x
  2. Step 2: Convert to fraction form
    223.89/309.06 = 150.35/x
  3. Step 3: Cross multiply
    223.89x = 309.06 × 150.35
  4. Step 4: Simplify right side
    223.89x = 46,465.63
  5. Step 5: Solve for x
    x = 46,465.63/223.89
  6. Step 6: Final answer
    x = 207.54

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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.