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Finding the Fourth Proportional to 368.22, 551.82 and 151.56

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Solution

The fourth proportional to 368.22, 551.82 and 151.56 is: 227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.22 : 551.82 = 151.56 : x
  2. Step 2: Convert to fraction form
    368.22/551.82 = 151.56/x
  3. Step 3: Cross multiply
    368.22x = 551.82 × 151.56
  4. Step 4: Simplify right side
    368.22x = 83,633.84
  5. Step 5: Solve for x
    x = 83,633.84/368.22
  6. Step 6: Final answer
    x = 227.13

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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.