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Finding the Fourth Proportional to 163.84, 245.76 and 88.32

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Solution

The fourth proportional to 163.84, 245.76 and 88.32 is: 132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.84 : 245.76 = 88.32 : x
  2. Step 2: Convert to fraction form
    163.84/245.76 = 88.32/x
  3. Step 3: Cross multiply
    163.84x = 245.76 × 88.32
  4. Step 4: Simplify right side
    163.84x = 21,705.52
  5. Step 5: Solve for x
    x = 21,705.52/163.84
  6. Step 6: Final answer
    x = 132.48

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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.