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Finding the Fourth Proportional to 388.88, 536.65 and 214.23

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Solution

The fourth proportional to 388.88, 536.65 and 214.23 is: 295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.88 : 536.65 = 214.23 : x
  2. Step 2: Convert to fraction form
    388.88/536.65 = 214.23/x
  3. Step 3: Cross multiply
    388.88x = 536.65 × 214.23
  4. Step 4: Simplify right side
    388.88x = 114,965.99
  5. Step 5: Solve for x
    x = 114,965.99/388.88
  6. Step 6: Final answer
    x = 295.64

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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.