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Finding the Fourth Proportional to 358.24, 538.16 and 236.74

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Solution

The fourth proportional to 358.24, 538.16 and 236.74 is: 355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.24 : 538.16 = 236.74 : x
  2. Step 2: Convert to fraction form
    358.24/538.16 = 236.74/x
  3. Step 3: Cross multiply
    358.24x = 538.16 × 236.74
  4. Step 4: Simplify right side
    358.24x = 127,404.00
  5. Step 5: Solve for x
    x = 127,404.00/358.24
  6. Step 6: Final answer
    x = 355.64

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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.