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Finding the Fourth Proportional to 368.10, 552.24 and 214.92

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Solution

The fourth proportional to 368.10, 552.24 and 214.92 is: 322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.10 : 552.24 = 214.92 : x
  2. Step 2: Convert to fraction form
    368.10/552.24 = 214.92/x
  3. Step 3: Cross multiply
    368.10x = 552.24 × 214.92
  4. Step 4: Simplify right side
    368.10x = 118,687.42
  5. Step 5: Solve for x
    x = 118,687.42/368.10
  6. Step 6: Final answer
    x = 322.43

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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.