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Finding the Fourth Proportional to 233.40, 350.14 and 111.64

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Solution

The fourth proportional to 233.40, 350.14 and 111.64 is: 167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.40 : 350.14 = 111.64 : x
  2. Step 2: Convert to fraction form
    233.40/350.14 = 111.64/x
  3. Step 3: Cross multiply
    233.40x = 350.14 × 111.64
  4. Step 4: Simplify right side
    233.40x = 39,089.63
  5. Step 5: Solve for x
    x = 39,089.63/233.40
  6. Step 6: Final answer
    x = 167.48

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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.