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Finding the Fourth Proportional to 233.92, 350.66 and 97.00

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Solution

The fourth proportional to 233.92, 350.66 and 97.00 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.92 : 350.66 = 97.00 : x
  2. Step 2: Convert to fraction form
    233.92/350.66 = 97.00/x
  3. Step 3: Cross multiply
    233.92x = 350.66 × 97.00
  4. Step 4: Simplify right side
    233.92x = 34,013.39
  5. Step 5: Solve for x
    x = 34,013.39/233.92
  6. Step 6: Final answer
    x = 145.41

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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.