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Finding the Fourth Proportional to 454.26, 681.46 and 146.06

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Solution

The fourth proportional to 454.26, 681.46 and 146.06 is: 219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.26 : 681.46 = 146.06 : x
  2. Step 2: Convert to fraction form
    454.26/681.46 = 146.06/x
  3. Step 3: Cross multiply
    454.26x = 681.46 × 146.06
  4. Step 4: Simplify right side
    454.26x = 99,534.05
  5. Step 5: Solve for x
    x = 99,534.05/454.26
  6. Step 6: Final answer
    x = 219.11

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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.