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Finding the Fourth Proportional to 450.34, 675.51 and 161.78

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Solution

The fourth proportional to 450.34, 675.51 and 161.78 is: 242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.34 : 675.51 = 161.78 : x
  2. Step 2: Convert to fraction form
    450.34/675.51 = 161.78/x
  3. Step 3: Cross multiply
    450.34x = 675.51 × 161.78
  4. Step 4: Simplify right side
    450.34x = 109,280.63
  5. Step 5: Solve for x
    x = 109,280.63/450.34
  6. Step 6: Final answer
    x = 242.66

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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.