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Finding the Fourth Proportional to 233.51, 350.26 and 96.46

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Solution

The fourth proportional to 233.51, 350.26 and 96.46 is: 144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.51 : 350.26 = 96.46 : x
  2. Step 2: Convert to fraction form
    233.51/350.26 = 96.46/x
  3. Step 3: Cross multiply
    233.51x = 350.26 × 96.46
  4. Step 4: Simplify right side
    233.51x = 33,784.96
  5. Step 5: Solve for x
    x = 33,784.96/233.51
  6. Step 6: Final answer
    x = 144.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.