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Finding the Fourth Proportional to 368.96, 553.14 and 214.88

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Solution

The fourth proportional to 368.96, 553.14 and 214.88 is: 322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.96 : 553.14 = 214.88 : x
  2. Step 2: Convert to fraction form
    368.96/553.14 = 214.88/x
  3. Step 3: Cross multiply
    368.96x = 553.14 × 214.88
  4. Step 4: Simplify right side
    368.96x = 118,858.72
  5. Step 5: Solve for x
    x = 118,858.72/368.96
  6. Step 6: Final answer
    x = 322.15

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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.