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Finding the Fourth Proportional to 163.54, 243.66 and 152.50

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Solution

The fourth proportional to 163.54, 243.66 and 152.50 is: 227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.54 : 243.66 = 152.50 : x
  2. Step 2: Convert to fraction form
    163.54/243.66 = 152.50/x
  3. Step 3: Cross multiply
    163.54x = 243.66 × 152.50
  4. Step 4: Simplify right side
    163.54x = 37,158.15
  5. Step 5: Solve for x
    x = 37,158.15/163.54
  6. Step 6: Final answer
    x = 227.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.