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Finding the Fourth Proportional to 233.72, 349.16 and 185.68

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Solution

The fourth proportional to 233.72, 349.16 and 185.68 is: 277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.72 : 349.16 = 185.68 : x
  2. Step 2: Convert to fraction form
    233.72/349.16 = 185.68/x
  3. Step 3: Cross multiply
    233.72x = 349.16 × 185.68
  4. Step 4: Simplify right side
    233.72x = 64,832.03
  5. Step 5: Solve for x
    x = 64,832.03/233.72
  6. Step 6: Final answer
    x = 277.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.