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Finding the Fourth Proportional to 169.78, 253.20 and 148.22

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Solution

The fourth proportional to 169.78, 253.20 and 148.22 is: 221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.78 : 253.20 = 148.22 : x
  2. Step 2: Convert to fraction form
    169.78/253.20 = 148.22/x
  3. Step 3: Cross multiply
    169.78x = 253.20 × 148.22
  4. Step 4: Simplify right side
    169.78x = 37,529.30
  5. Step 5: Solve for x
    x = 37,529.30/169.78
  6. Step 6: Final answer
    x = 221.05

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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.