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Finding the Fourth Proportional to 233.07, 321.71 and 145.74

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Solution

The fourth proportional to 233.07, 321.71 and 145.74 is: 201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.07 : 321.71 = 145.74 : x
  2. Step 2: Convert to fraction form
    233.07/321.71 = 145.74/x
  3. Step 3: Cross multiply
    233.07x = 321.71 × 145.74
  4. Step 4: Simplify right side
    233.07x = 46,885.29
  5. Step 5: Solve for x
    x = 46,885.29/233.07
  6. Step 6: Final answer
    x = 201.16

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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.