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Finding the Fourth Proportional to 229.50, 344.75 and 164.70

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Solution

The fourth proportional to 229.50, 344.75 and 164.70 is: 247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 344.75 = 164.70 : x
  2. Step 2: Convert to fraction form
    229.50/344.75 = 164.70/x
  3. Step 3: Cross multiply
    229.50x = 344.75 × 164.70
  4. Step 4: Simplify right side
    229.50x = 56,779.50
  5. Step 5: Solve for x
    x = 56,779.50/229.50
  6. Step 6: Final answer
    x = 247.41

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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.