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Finding the Fourth Proportional to 454.99, 682.15 and 146.66

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Solution

The fourth proportional to 454.99, 682.15 and 146.66 is: 219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.99 : 682.15 = 146.66 : x
  2. Step 2: Convert to fraction form
    454.99/682.15 = 146.66/x
  3. Step 3: Cross multiply
    454.99x = 682.15 × 146.66
  4. Step 4: Simplify right side
    454.99x = 100,044.04
  5. Step 5: Solve for x
    x = 100,044.04/454.99
  6. Step 6: Final answer
    x = 219.88

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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.