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Finding the Fourth Proportional to 386.90, 533.98 and 221.16

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Solution

The fourth proportional to 386.90, 533.98 and 221.16 is: 305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.90 : 533.98 = 221.16 : x
  2. Step 2: Convert to fraction form
    386.90/533.98 = 221.16/x
  3. Step 3: Cross multiply
    386.90x = 533.98 × 221.16
  4. Step 4: Simplify right side
    386.90x = 118,097.30
  5. Step 5: Solve for x
    x = 118,097.30/386.90
  6. Step 6: Final answer
    x = 305.24

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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.