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Finding the Fourth Proportional to 410.05, 614.58 and 166.51

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Solution

The fourth proportional to 410.05, 614.58 and 166.51 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.05 : 614.58 = 166.51 : x
  2. Step 2: Convert to fraction form
    410.05/614.58 = 166.51/x
  3. Step 3: Cross multiply
    410.05x = 614.58 × 166.51
  4. Step 4: Simplify right side
    410.05x = 102,333.72
  5. Step 5: Solve for x
    x = 102,333.72/410.05
  6. Step 6: Final answer
    x = 249.56

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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.