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Finding the Fourth Proportional to 233.46, 349.80 and 164.86

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Solution

The fourth proportional to 233.46, 349.80 and 164.86 is: 247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.46 : 349.80 = 164.86 : x
  2. Step 2: Convert to fraction form
    233.46/349.80 = 164.86/x
  3. Step 3: Cross multiply
    233.46x = 349.80 × 164.86
  4. Step 4: Simplify right side
    233.46x = 57,668.03
  5. Step 5: Solve for x
    x = 57,668.03/233.46
  6. Step 6: Final answer
    x = 247.01

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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.