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Finding the Fourth Proportional to 454.20, 681.40 and 165.64

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Solution

The fourth proportional to 454.20, 681.40 and 165.64 is: 248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.20 : 681.40 = 165.64 : x
  2. Step 2: Convert to fraction form
    454.20/681.40 = 165.64/x
  3. Step 3: Cross multiply
    454.20x = 681.40 × 165.64
  4. Step 4: Simplify right side
    454.20x = 112,867.10
  5. Step 5: Solve for x
    x = 112,867.10/454.20
  6. Step 6: Final answer
    x = 248.50

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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.