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Finding the Fourth Proportional to 358.64, 538.14 and 166.24

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Solution

The fourth proportional to 358.64, 538.14 and 166.24 is: 249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.64 : 538.14 = 166.24 : x
  2. Step 2: Convert to fraction form
    358.64/538.14 = 166.24/x
  3. Step 3: Cross multiply
    358.64x = 538.14 × 166.24
  4. Step 4: Simplify right side
    358.64x = 89,460.39
  5. Step 5: Solve for x
    x = 89,460.39/358.64
  6. Step 6: Final answer
    x = 249.44

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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.