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Finding the Fourth Proportional to 454.63, 681.81 and 166

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Solution

The fourth proportional to 454.63, 681.81 and 166 is: 248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.63 : 681.81 = 166 : x
  2. Step 2: Convert to fraction form
    454.63/681.81 = 166/x
  3. Step 3: Cross multiply
    454.63x = 681.81 × 166
  4. Step 4: Simplify right side
    454.63x = 113,180.46
  5. Step 5: Solve for x
    x = 113,180.46/454.63
  6. Step 6: Final answer
    x = 248.95

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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.