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Finding the Fourth Proportional to 369.04, 552.54 and 206.32

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Solution

The fourth proportional to 369.04, 552.54 and 206.32 is: 308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.04 : 552.54 = 206.32 : x
  2. Step 2: Convert to fraction form
    369.04/552.54 = 206.32/x
  3. Step 3: Cross multiply
    369.04x = 552.54 × 206.32
  4. Step 4: Simplify right side
    369.04x = 114,000.05
  5. Step 5: Solve for x
    x = 114,000.05/369.04
  6. Step 6: Final answer
    x = 308.91

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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.