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Finding the Fourth Proportional to 454.68, 681.64 and 180.68

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Solution

The fourth proportional to 454.68, 681.64 and 180.68 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 681.64 = 180.68 : x
  2. Step 2: Convert to fraction form
    454.68/681.64 = 180.68/x
  3. Step 3: Cross multiply
    454.68x = 681.64 × 180.68
  4. Step 4: Simplify right side
    454.68x = 123,158.72
  5. Step 5: Solve for x
    x = 123,158.72/454.68
  6. Step 6: Final answer
    x = 270.87

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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.