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Finding the Fourth Proportional to 225, 310.54 and 133

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Solution

The fourth proportional to 225, 310.54 and 133 is: 183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225 : 310.54 = 133 : x
  2. Step 2: Convert to fraction form
    225/310.54 = 133/x
  3. Step 3: Cross multiply
    225x = 310.54 × 133
  4. Step 4: Simplify right side
    225x = 41,301.82
  5. Step 5: Solve for x
    x = 41,301.82/225
  6. Step 6: Final answer
    x = 183.56

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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.