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Finding the Fourth Proportional to 233.12, 321.74 and 134.87

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Solution

The fourth proportional to 233.12, 321.74 and 134.87 is: 186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.12 : 321.74 = 134.87 : x
  2. Step 2: Convert to fraction form
    233.12/321.74 = 134.87/x
  3. Step 3: Cross multiply
    233.12x = 321.74 × 134.87
  4. Step 4: Simplify right side
    233.12x = 43,393.07
  5. Step 5: Solve for x
    x = 43,393.07/233.12
  6. Step 6: Final answer
    x = 186.14

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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.