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Finding the Fourth Proportional to 388.50, 536.10 and 213.82

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Solution

The fourth proportional to 388.50, 536.10 and 213.82 is: 295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.50 : 536.10 = 213.82 : x
  2. Step 2: Convert to fraction form
    388.50/536.10 = 213.82/x
  3. Step 3: Cross multiply
    388.50x = 536.10 × 213.82
  4. Step 4: Simplify right side
    388.50x = 114,628.90
  5. Step 5: Solve for x
    x = 114,628.90/388.50
  6. Step 6: Final answer
    x = 295.06

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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.