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Finding the Fourth Proportional to 315.18, 435.03 and 182.46

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Solution

The fourth proportional to 315.18, 435.03 and 182.46 is: 251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.18 : 435.03 = 182.46 : x
  2. Step 2: Convert to fraction form
    315.18/435.03 = 182.46/x
  3. Step 3: Cross multiply
    315.18x = 435.03 × 182.46
  4. Step 4: Simplify right side
    315.18x = 79,375.57
  5. Step 5: Solve for x
    x = 79,375.57/315.18
  6. Step 6: Final answer
    x = 251.84

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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.