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Finding the Fourth Proportional to 368.25, 552.63 and 151.83

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Solution

The fourth proportional to 368.25, 552.63 and 151.83 is: 227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.25 : 552.63 = 151.83 : x
  2. Step 2: Convert to fraction form
    368.25/552.63 = 151.83/x
  3. Step 3: Cross multiply
    368.25x = 552.63 × 151.83
  4. Step 4: Simplify right side
    368.25x = 83,905.81
  5. Step 5: Solve for x
    x = 83,905.81/368.25
  6. Step 6: Final answer
    x = 227.85

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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.