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Finding the Fourth Proportional to 368.24, 552.42 and 151.82

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Solution

The fourth proportional to 368.24, 552.42 and 151.82 is: 227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.24 : 552.42 = 151.82 : x
  2. Step 2: Convert to fraction form
    368.24/552.42 = 151.82/x
  3. Step 3: Cross multiply
    368.24x = 552.42 × 151.82
  4. Step 4: Simplify right side
    368.24x = 83,865.64
  5. Step 5: Solve for x
    x = 83,865.64/368.24
  6. Step 6: Final answer
    x = 227.75

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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.