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Finding the Fourth Proportional to 387.19, 534.27 and 221.38

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Solution

The fourth proportional to 387.19, 534.27 and 221.38 is: 305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.19 : 534.27 = 221.38 : x
  2. Step 2: Convert to fraction form
    387.19/534.27 = 221.38/x
  3. Step 3: Cross multiply
    387.19x = 534.27 × 221.38
  4. Step 4: Simplify right side
    387.19x = 118,276.69
  5. Step 5: Solve for x
    x = 118,276.69/387.19
  6. Step 6: Final answer
    x = 305.47

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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.