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Finding the Fourth Proportional to 223.84, 308.76 and 146.32

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Solution

The fourth proportional to 223.84, 308.76 and 146.32 is: 201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 308.76 = 146.32 : x
  2. Step 2: Convert to fraction form
    223.84/308.76 = 146.32/x
  3. Step 3: Cross multiply
    223.84x = 308.76 × 146.32
  4. Step 4: Simplify right side
    223.84x = 45,177.76
  5. Step 5: Solve for x
    x = 45,177.76/223.84
  6. Step 6: Final answer
    x = 201.83

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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.