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Finding the Fourth Proportional to 427.55, 641.52 and 184.14

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Solution

The fourth proportional to 427.55, 641.52 and 184.14 is: 276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.55 : 641.52 = 184.14 : x
  2. Step 2: Convert to fraction form
    427.55/641.52 = 184.14/x
  3. Step 3: Cross multiply
    427.55x = 641.52 × 184.14
  4. Step 4: Simplify right side
    427.55x = 118,129.49
  5. Step 5: Solve for x
    x = 118,129.49/427.55
  6. Step 6: Final answer
    x = 276.30

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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.