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Finding the Fourth Proportional to 410.22, 615.36 and 166.77

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Solution

The fourth proportional to 410.22, 615.36 and 166.77 is: 250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.22 : 615.36 = 166.77 : x
  2. Step 2: Convert to fraction form
    410.22/615.36 = 166.77/x
  3. Step 3: Cross multiply
    410.22x = 615.36 × 166.77
  4. Step 4: Simplify right side
    410.22x = 102,623.59
  5. Step 5: Solve for x
    x = 102,623.59/410.22
  6. Step 6: Final answer
    x = 250.17

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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.