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Finding the Fourth Proportional to 358.16, 536.43 and 213.58

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Solution

The fourth proportional to 358.16, 536.43 and 213.58 is: 319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.16 : 536.43 = 213.58 : x
  2. Step 2: Convert to fraction form
    358.16/536.43 = 213.58/x
  3. Step 3: Cross multiply
    358.16x = 536.43 × 213.58
  4. Step 4: Simplify right side
    358.16x = 114,569.38
  5. Step 5: Solve for x
    x = 114,569.38/358.16
  6. Step 6: Final answer
    x = 319.88

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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.