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Finding the Fourth Proportional to 450.52, 675.78 and 161.95

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Solution

The fourth proportional to 450.52, 675.78 and 161.95 is: 242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.52 : 675.78 = 161.95 : x
  2. Step 2: Convert to fraction form
    450.52/675.78 = 161.95/x
  3. Step 3: Cross multiply
    450.52x = 675.78 × 161.95
  4. Step 4: Simplify right side
    450.52x = 109,442.57
  5. Step 5: Solve for x
    x = 109,442.57/450.52
  6. Step 6: Final answer
    x = 242.93

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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.