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Finding the Fourth Proportional to 386.86, 533.81 and 221.08

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Solution

The fourth proportional to 386.86, 533.81 and 221.08 is: 305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.86 : 533.81 = 221.08 : x
  2. Step 2: Convert to fraction form
    386.86/533.81 = 221.08/x
  3. Step 3: Cross multiply
    386.86x = 533.81 × 221.08
  4. Step 4: Simplify right side
    386.86x = 118,013.69
  5. Step 5: Solve for x
    x = 118,013.69/386.86
  6. Step 6: Final answer
    x = 305.06

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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.