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Finding the Fourth Proportional to 285.63, 427.95 and 182.76

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Solution

The fourth proportional to 285.63, 427.95 and 182.76 is: 273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.63 : 427.95 = 182.76 : x
  2. Step 2: Convert to fraction form
    285.63/427.95 = 182.76/x
  3. Step 3: Cross multiply
    285.63x = 427.95 × 182.76
  4. Step 4: Simplify right side
    285.63x = 78,212.14
  5. Step 5: Solve for x
    x = 78,212.14/285.63
  6. Step 6: Final answer
    x = 273.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.