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Finding the Fourth Proportional to 223.98, 309.06 and 136.77

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Solution

The fourth proportional to 223.98, 309.06 and 136.77 is: 188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.98 : 309.06 = 136.77 : x
  2. Step 2: Convert to fraction form
    223.98/309.06 = 136.77/x
  3. Step 3: Cross multiply
    223.98x = 309.06 × 136.77
  4. Step 4: Simplify right side
    223.98x = 42,270.14
  5. Step 5: Solve for x
    x = 42,270.14/223.98
  6. Step 6: Final answer
    x = 188.72

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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.