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Finding the Fourth Proportional to 233.14, 321.87 and 145.93

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Solution

The fourth proportional to 233.14, 321.87 and 145.93 is: 201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.14 : 321.87 = 145.93 : x
  2. Step 2: Convert to fraction form
    233.14/321.87 = 145.93/x
  3. Step 3: Cross multiply
    233.14x = 321.87 × 145.93
  4. Step 4: Simplify right side
    233.14x = 46,968.15
  5. Step 5: Solve for x
    x = 46,968.15/233.14
  6. Step 6: Final answer
    x = 201.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.