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Finding the Fourth Proportional to 349.54, 524.32 and 206.18

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Solution

The fourth proportional to 349.54, 524.32 and 206.18 is: 309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.54 : 524.32 = 206.18 : x
  2. Step 2: Convert to fraction form
    349.54/524.32 = 206.18/x
  3. Step 3: Cross multiply
    349.54x = 524.32 × 206.18
  4. Step 4: Simplify right side
    349.54x = 108,104.30
  5. Step 5: Solve for x
    x = 108,104.30/349.54
  6. Step 6: Final answer
    x = 309.28

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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.