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Finding the Fourth Proportional to 389.10, 536.96 and 212.06

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Solution

The fourth proportional to 389.10, 536.96 and 212.06 is: 292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.10 : 536.96 = 212.06 : x
  2. Step 2: Convert to fraction form
    389.10/536.96 = 212.06/x
  3. Step 3: Cross multiply
    389.10x = 536.96 × 212.06
  4. Step 4: Simplify right side
    389.10x = 113,867.74
  5. Step 5: Solve for x
    x = 113,867.74/389.10
  6. Step 6: Final answer
    x = 292.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.