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Finding the Fourth Proportional to 454.86, 681.68 and 166.02

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Solution

The fourth proportional to 454.86, 681.68 and 166.02 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.86 : 681.68 = 166.02 : x
  2. Step 2: Convert to fraction form
    454.86/681.68 = 166.02/x
  3. Step 3: Cross multiply
    454.86x = 681.68 × 166.02
  4. Step 4: Simplify right side
    454.86x = 113,172.51
  5. Step 5: Solve for x
    x = 113,172.51/454.86
  6. Step 6: Final answer
    x = 248.81

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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.