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Finding the Fourth Proportional to 454.18, 681.36 and 180.40

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Solution

The fourth proportional to 454.18, 681.36 and 180.40 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.18 : 681.36 = 180.40 : x
  2. Step 2: Convert to fraction form
    454.18/681.36 = 180.40/x
  3. Step 3: Cross multiply
    454.18x = 681.36 × 180.40
  4. Step 4: Simplify right side
    454.18x = 122,917.34
  5. Step 5: Solve for x
    x = 122,917.34/454.18
  6. Step 6: Final answer
    x = 270.64

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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.