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Finding the Fourth Proportional to 163.08, 244.08 and 152.82

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Solution

The fourth proportional to 163.08, 244.08 and 152.82 is: 228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.08 : 244.08 = 152.82 : x
  2. Step 2: Convert to fraction form
    163.08/244.08 = 152.82/x
  3. Step 3: Cross multiply
    163.08x = 244.08 × 152.82
  4. Step 4: Simplify right side
    163.08x = 37,300.31
  5. Step 5: Solve for x
    x = 37,300.31/163.08
  6. Step 6: Final answer
    x = 228.72

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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.