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Finding the Fourth Proportional to 368.29, 552.30 and 151.75

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Solution

The fourth proportional to 368.29, 552.30 and 151.75 is: 227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.29 : 552.30 = 151.75 : x
  2. Step 2: Convert to fraction form
    368.29/552.30 = 151.75/x
  3. Step 3: Cross multiply
    368.29x = 552.30 × 151.75
  4. Step 4: Simplify right side
    368.29x = 83,811.53
  5. Step 5: Solve for x
    x = 83,811.53/368.29
  6. Step 6: Final answer
    x = 227.57

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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.