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Finding the Fourth Proportional to 454.69, 681.55 and 180.67

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Solution

The fourth proportional to 454.69, 681.55 and 180.67 is: 270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.69 : 681.55 = 180.67 : x
  2. Step 2: Convert to fraction form
    454.69/681.55 = 180.67/x
  3. Step 3: Cross multiply
    454.69x = 681.55 × 180.67
  4. Step 4: Simplify right side
    454.69x = 123,135.64
  5. Step 5: Solve for x
    x = 123,135.64/454.69
  6. Step 6: Final answer
    x = 270.81

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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.