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Finding the Fourth Proportional to 230.40, 344.88 and 165.60

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Solution

The fourth proportional to 230.40, 344.88 and 165.60 is: 247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.40 : 344.88 = 165.60 : x
  2. Step 2: Convert to fraction form
    230.40/344.88 = 165.60/x
  3. Step 3: Cross multiply
    230.40x = 344.88 × 165.60
  4. Step 4: Simplify right side
    230.40x = 57,112.13
  5. Step 5: Solve for x
    x = 57,112.13/230.40
  6. Step 6: Final answer
    x = 247.88

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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.