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Finding the Fourth Proportional to 407.16, 610.77 and 133.28

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Solution

The fourth proportional to 407.16, 610.77 and 133.28 is: 199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.16 : 610.77 = 133.28 : x
  2. Step 2: Convert to fraction form
    407.16/610.77 = 133.28/x
  3. Step 3: Cross multiply
    407.16x = 610.77 × 133.28
  4. Step 4: Simplify right side
    407.16x = 81,400.70
  5. Step 5: Solve for x
    x = 81,400.70/407.16
  6. Step 6: Final answer
    x = 199.92

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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.