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Finding the Fourth Proportional to 233.02, 348.99 and 111.02

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Solution

The fourth proportional to 233.02, 348.99 and 111.02 is: 166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.02 : 348.99 = 111.02 : x
  2. Step 2: Convert to fraction form
    233.02/348.99 = 111.02/x
  3. Step 3: Cross multiply
    233.02x = 348.99 × 111.02
  4. Step 4: Simplify right side
    233.02x = 38,744.87
  5. Step 5: Solve for x
    x = 38,744.87/233.02
  6. Step 6: Final answer
    x = 166.27

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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.