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Finding the Fourth Proportional to 255.80, 383.34 and 164.36

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Solution

The fourth proportional to 255.80, 383.34 and 164.36 is: 246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.80 : 383.34 = 164.36 : x
  2. Step 2: Convert to fraction form
    255.80/383.34 = 164.36/x
  3. Step 3: Cross multiply
    255.80x = 383.34 × 164.36
  4. Step 4: Simplify right side
    255.80x = 63,005.76
  5. Step 5: Solve for x
    x = 63,005.76/255.80
  6. Step 6: Final answer
    x = 246.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.