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Finding the Fourth Proportional to 166.30, 233.30 and 166.30

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Solution

The fourth proportional to 166.30, 233.30 and 166.30 is: 233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.30 : 233.30 = 166.30 : x
  2. Step 2: Convert to fraction form
    166.30/233.30 = 166.30/x
  3. Step 3: Cross multiply
    166.30x = 233.30 × 166.30
  4. Step 4: Simplify right side
    166.30x = 38,797.79
  5. Step 5: Solve for x
    x = 38,797.79/166.30
  6. Step 6: Final answer
    x = 233.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.