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Finding the Fourth Proportional to 233.03, 349.16 and 102.83

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Solution

The fourth proportional to 233.03, 349.16 and 102.83 is: 154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.03 : 349.16 = 102.83 : x
  2. Step 2: Convert to fraction form
    233.03/349.16 = 102.83/x
  3. Step 3: Cross multiply
    233.03x = 349.16 × 102.83
  4. Step 4: Simplify right side
    233.03x = 35,901.86
  5. Step 5: Solve for x
    x = 35,901.86/233.03
  6. Step 6: Final answer
    x = 154.06

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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.