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Finding the Fourth Proportional to 175.25, 261.45 and 170.29

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Solution

The fourth proportional to 175.25, 261.45 and 170.29 is: 254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.25 : 261.45 = 170.29 : x
  2. Step 2: Convert to fraction form
    175.25/261.45 = 170.29/x
  3. Step 3: Cross multiply
    175.25x = 261.45 × 170.29
  4. Step 4: Simplify right side
    175.25x = 44,522.32
  5. Step 5: Solve for x
    x = 44,522.32/175.25
  6. Step 6: Final answer
    x = 254.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.