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Finding the Fourth Proportional to 169.84, 254.32 and 148.16

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Solution

The fourth proportional to 169.84, 254.32 and 148.16 is: 221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.84 : 254.32 = 148.16 : x
  2. Step 2: Convert to fraction form
    169.84/254.32 = 148.16/x
  3. Step 3: Cross multiply
    169.84x = 254.32 × 148.16
  4. Step 4: Simplify right side
    169.84x = 37,680.05
  5. Step 5: Solve for x
    x = 37,680.05/169.84
  6. Step 6: Final answer
    x = 221.86

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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.