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Finding the Fourth Proportional to 453.96, 680.98 and 145.82

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Solution

The fourth proportional to 453.96, 680.98 and 145.82 is: 218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.96 : 680.98 = 145.82 : x
  2. Step 2: Convert to fraction form
    453.96/680.98 = 145.82/x
  3. Step 3: Cross multiply
    453.96x = 680.98 × 145.82
  4. Step 4: Simplify right side
    453.96x = 99,300.50
  5. Step 5: Solve for x
    x = 99,300.50/453.96
  6. Step 6: Final answer
    x = 218.74

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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.