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Finding the Fourth Proportional to 455.01, 682.65 and 180.95

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Solution

The fourth proportional to 455.01, 682.65 and 180.95 is: 271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.01 : 682.65 = 180.95 : x
  2. Step 2: Convert to fraction form
    455.01/682.65 = 180.95/x
  3. Step 3: Cross multiply
    455.01x = 682.65 × 180.95
  4. Step 4: Simplify right side
    455.01x = 123,522.10
  5. Step 5: Solve for x
    x = 123,522.10/455.01
  6. Step 6: Final answer
    x = 271.47

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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.