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Finding the Fourth Proportional to 163.22, 245.95 and 145.76

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Solution

The fourth proportional to 163.22, 245.95 and 145.76 is: 219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.22 : 245.95 = 145.76 : x
  2. Step 2: Convert to fraction form
    163.22/245.95 = 145.76/x
  3. Step 3: Cross multiply
    163.22x = 245.95 × 145.76
  4. Step 4: Simplify right side
    163.22x = 35,849.67
  5. Step 5: Solve for x
    x = 35,849.67/163.22
  6. Step 6: Final answer
    x = 219.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.