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Finding the Fourth Proportional to 208.20, 312.45 and 147.45

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Solution

The fourth proportional to 208.20, 312.45 and 147.45 is: 221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 312.45 = 147.45 : x
  2. Step 2: Convert to fraction form
    208.20/312.45 = 147.45/x
  3. Step 3: Cross multiply
    208.20x = 312.45 × 147.45
  4. Step 4: Simplify right side
    208.20x = 46,070.75
  5. Step 5: Solve for x
    x = 46,070.75/208.20
  6. Step 6: Final answer
    x = 221.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.