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Finding the Fourth Proportional to 455.16, 682.82 and 146.98

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Solution

The fourth proportional to 455.16, 682.82 and 146.98 is: 220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.16 : 682.82 = 146.98 : x
  2. Step 2: Convert to fraction form
    455.16/682.82 = 146.98/x
  3. Step 3: Cross multiply
    455.16x = 682.82 × 146.98
  4. Step 4: Simplify right side
    455.16x = 100,360.88
  5. Step 5: Solve for x
    x = 100,360.88/455.16
  6. Step 6: Final answer
    x = 220.50

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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.