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Finding the Fourth Proportional to 233.14, 321.69 and 145.75

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Solution

The fourth proportional to 233.14, 321.69 and 145.75 is: 201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.14 : 321.69 = 145.75 : x
  2. Step 2: Convert to fraction form
    233.14/321.69 = 145.75/x
  3. Step 3: Cross multiply
    233.14x = 321.69 × 145.75
  4. Step 4: Simplify right side
    233.14x = 46,886.32
  5. Step 5: Solve for x
    x = 46,886.32/233.14
  6. Step 6: Final answer
    x = 201.11

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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.