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Finding the Fourth Proportional to 387.22, 534.39 and 221.40

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Solution

The fourth proportional to 387.22, 534.39 and 221.40 is: 305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.22 : 534.39 = 221.40 : x
  2. Step 2: Convert to fraction form
    387.22/534.39 = 221.40/x
  3. Step 3: Cross multiply
    387.22x = 534.39 × 221.40
  4. Step 4: Simplify right side
    387.22x = 118,312.77
  5. Step 5: Solve for x
    x = 118,312.77/387.22
  6. Step 6: Final answer
    x = 305.55

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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.