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Finding the Fourth Proportional to 407.10, 610.68 and 133.22

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Solution

The fourth proportional to 407.10, 610.68 and 133.22 is: 199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.10 : 610.68 = 133.22 : x
  2. Step 2: Convert to fraction form
    407.10/610.68 = 133.22/x
  3. Step 3: Cross multiply
    407.10x = 610.68 × 133.22
  4. Step 4: Simplify right side
    407.10x = 81,354.79
  5. Step 5: Solve for x
    x = 81,354.79/407.10
  6. Step 6: Final answer
    x = 199.84

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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.