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Finding the Fourth Proportional to 388.80, 536.56 and 214.14

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Solution

The fourth proportional to 388.80, 536.56 and 214.14 is: 295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.80 : 536.56 = 214.14 : x
  2. Step 2: Convert to fraction form
    388.80/536.56 = 214.14/x
  3. Step 3: Cross multiply
    388.80x = 536.56 × 214.14
  4. Step 4: Simplify right side
    388.80x = 114,898.96
  5. Step 5: Solve for x
    x = 114,898.96/388.80
  6. Step 6: Final answer
    x = 295.52

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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.