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Finding the Fourth Proportional to 388.86, 536.63 and 214.21

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Solution

The fourth proportional to 388.86, 536.63 and 214.21 is: 295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.86 : 536.63 = 214.21 : x
  2. Step 2: Convert to fraction form
    388.86/536.63 = 214.21/x
  3. Step 3: Cross multiply
    388.86x = 536.63 × 214.21
  4. Step 4: Simplify right side
    388.86x = 114,950.20
  5. Step 5: Solve for x
    x = 114,950.20/388.86
  6. Step 6: Final answer
    x = 295.61

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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.