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Finding the Fourth Proportional to 387.68, 534.96 and 221.84

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Solution

The fourth proportional to 387.68, 534.96 and 221.84 is: 306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.68 : 534.96 = 221.84 : x
  2. Step 2: Convert to fraction form
    387.68/534.96 = 221.84/x
  3. Step 3: Cross multiply
    387.68x = 534.96 × 221.84
  4. Step 4: Simplify right side
    387.68x = 118,675.53
  5. Step 5: Solve for x
    x = 118,675.53/387.68
  6. Step 6: Final answer
    x = 306.12

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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.