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Finding the Fourth Proportional to 233.76, 350.75 and 96.84

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Solution

The fourth proportional to 233.76, 350.75 and 96.84 is: 145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 350.75 = 96.84 : x
  2. Step 2: Convert to fraction form
    233.76/350.75 = 96.84/x
  3. Step 3: Cross multiply
    233.76x = 350.75 × 96.84
  4. Step 4: Simplify right side
    233.76x = 33,966.63
  5. Step 5: Solve for x
    x = 33,966.63/233.76
  6. Step 6: Final answer
    x = 145.31

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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.