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Finding the Fourth Proportional to 368.42, 552.45 and 137.24

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Solution

The fourth proportional to 368.42, 552.45 and 137.24 is: 205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.42 : 552.45 = 137.24 : x
  2. Step 2: Convert to fraction form
    368.42/552.45 = 137.24/x
  3. Step 3: Cross multiply
    368.42x = 552.45 × 137.24
  4. Step 4: Simplify right side
    368.42x = 75,818.24
  5. Step 5: Solve for x
    x = 75,818.24/368.42
  6. Step 6: Final answer
    x = 205.79

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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.