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Finding the Fourth Proportional to 454.91, 682.16 and 146.70

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Solution

The fourth proportional to 454.91, 682.16 and 146.70 is: 219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.91 : 682.16 = 146.70 : x
  2. Step 2: Convert to fraction form
    454.91/682.16 = 146.70/x
  3. Step 3: Cross multiply
    454.91x = 682.16 × 146.70
  4. Step 4: Simplify right side
    454.91x = 100,072.14
  5. Step 5: Solve for x
    x = 100,072.14/454.91
  6. Step 6: Final answer
    x = 219.98

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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.