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Finding the Fourth Proportional to 315.35, 435.26 and 182.59

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Solution

The fourth proportional to 315.35, 435.26 and 182.59 is: 252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.35 : 435.26 = 182.59 : x
  2. Step 2: Convert to fraction form
    315.35/435.26 = 182.59/x
  3. Step 3: Cross multiply
    315.35x = 435.26 × 182.59
  4. Step 4: Simplify right side
    315.35x = 79,474.12
  5. Step 5: Solve for x
    x = 79,474.12/315.35
  6. Step 6: Final answer
    x = 252.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.