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Finding the Fourth Proportional to 170.44, 256.00 and 102.09

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Solution

The fourth proportional to 170.44, 256.00 and 102.09 is: 153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.44 : 256.00 = 102.09 : x
  2. Step 2: Convert to fraction form
    170.44/256.00 = 102.09/x
  3. Step 3: Cross multiply
    170.44x = 256.00 × 102.09
  4. Step 4: Simplify right side
    170.44x = 26,134.14
  5. Step 5: Solve for x
    x = 26,134.14/170.44
  6. Step 6: Final answer
    x = 153.34

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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.