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Finding the Fourth Proportional to 387.16, 534.27 and 221.36

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Solution

The fourth proportional to 387.16, 534.27 and 221.36 is: 305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.16 : 534.27 = 221.36 : x
  2. Step 2: Convert to fraction form
    387.16/534.27 = 221.36/x
  3. Step 3: Cross multiply
    387.16x = 534.27 × 221.36
  4. Step 4: Simplify right side
    387.16x = 118,266.01
  5. Step 5: Solve for x
    x = 118,266.01/387.16
  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.