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Finding the Fourth Proportional to 368.23, 552.59 and 151.80

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Solution

The fourth proportional to 368.23, 552.59 and 151.80 is: 227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.23 : 552.59 = 151.80 : x
  2. Step 2: Convert to fraction form
    368.23/552.59 = 151.80/x
  3. Step 3: Cross multiply
    368.23x = 552.59 × 151.80
  4. Step 4: Simplify right side
    368.23x = 83,886.20
  5. Step 5: Solve for x
    x = 83,886.20/368.23
  6. Step 6: Final answer
    x = 227.81

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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.