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Finding the Fourth Proportional to 368.32, 551.56 and 213.86

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Solution

The fourth proportional to 368.32, 551.56 and 213.86 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.32 : 551.56 = 213.86 : x
  2. Step 2: Convert to fraction form
    368.32/551.56 = 213.86/x
  3. Step 3: Cross multiply
    368.32x = 551.56 × 213.86
  4. Step 4: Simplify right side
    368.32x = 117,956.62
  5. Step 5: Solve for x
    x = 117,956.62/368.32
  6. Step 6: Final answer
    x = 320.26

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