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Finding the Fourth Proportional to 233.03, 321.41 and 177.63

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Solution

The fourth proportional to 233.03, 321.41 and 177.63 is: 245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.03 : 321.41 = 177.63 : x
  2. Step 2: Convert to fraction form
    233.03/321.41 = 177.63/x
  3. Step 3: Cross multiply
    233.03x = 321.41 × 177.63
  4. Step 4: Simplify right side
    233.03x = 57,091.17
  5. Step 5: Solve for x
    x = 57,091.17/233.03
  6. Step 6: Final answer
    x = 245.00

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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.