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Finding the Fourth Proportional to 285.45, 427.58 and 182.69

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Solution

The fourth proportional to 285.45, 427.58 and 182.69 is: 273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.45 : 427.58 = 182.69 : x
  2. Step 2: Convert to fraction form
    285.45/427.58 = 182.69/x
  3. Step 3: Cross multiply
    285.45x = 427.58 × 182.69
  4. Step 4: Simplify right side
    285.45x = 78,114.59
  5. Step 5: Solve for x
    x = 78,114.59/285.45
  6. Step 6: Final answer
    x = 273.66

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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.