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Finding the Fourth Proportional to 410.24, 615.34 and 166.77

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Solution

The fourth proportional to 410.24, 615.34 and 166.77 is: 250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 615.34 = 166.77 : x
  2. Step 2: Convert to fraction form
    410.24/615.34 = 166.77/x
  3. Step 3: Cross multiply
    410.24x = 615.34 × 166.77
  4. Step 4: Simplify right side
    410.24x = 102,616.34
  5. Step 5: Solve for x
    x = 102,616.34/410.24
  6. Step 6: Final answer
    x = 250.14

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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.