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Finding the Fourth Proportional to 454.63, 682.07 and 146.47

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Solution

The fourth proportional to 454.63, 682.07 and 146.47 is: 219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.63 : 682.07 = 146.47 : x
  2. Step 2: Convert to fraction form
    454.63/682.07 = 146.47/x
  3. Step 3: Cross multiply
    454.63x = 682.07 × 146.47
  4. Step 4: Simplify right side
    454.63x = 99,905.57
  5. Step 5: Solve for x
    x = 99,905.57/454.63
  6. Step 6: Final answer
    x = 219.75

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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.