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Finding the Fourth Proportional to 368.46, 551.52 and 205.65

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Solution

The fourth proportional to 368.46, 551.52 and 205.65 is: 307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.46 : 551.52 = 205.65 : x
  2. Step 2: Convert to fraction form
    368.46/551.52 = 205.65/x
  3. Step 3: Cross multiply
    368.46x = 551.52 × 205.65
  4. Step 4: Simplify right side
    368.46x = 113,420.09
  5. Step 5: Solve for x
    x = 113,420.09/368.46
  6. Step 6: Final answer
    x = 307.82

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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.