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Finding the Fourth Proportional to 170.94, 257.58 and 141.18

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Solution

The fourth proportional to 170.94, 257.58 and 141.18 is: 212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.94 : 257.58 = 141.18 : x
  2. Step 2: Convert to fraction form
    170.94/257.58 = 141.18/x
  3. Step 3: Cross multiply
    170.94x = 257.58 × 141.18
  4. Step 4: Simplify right side
    170.94x = 36,365.14
  5. Step 5: Solve for x
    x = 36,365.14/170.94
  6. Step 6: Final answer
    x = 212.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.