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Finding the Fourth Proportional to 233.14, 349.64 and 111.16

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Solution

The fourth proportional to 233.14, 349.64 and 111.16 is: 166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.14 : 349.64 = 111.16 : x
  2. Step 2: Convert to fraction form
    233.14/349.64 = 111.16/x
  3. Step 3: Cross multiply
    233.14x = 349.64 × 111.16
  4. Step 4: Simplify right side
    233.14x = 38,864.23
  5. Step 5: Solve for x
    x = 38,864.23/233.14
  6. Step 6: Final answer
    x = 166.70

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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.