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Finding the Fourth Proportional to 160.34, 221.32 and 148.80

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Solution

The fourth proportional to 160.34, 221.32 and 148.80 is: 205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.34 : 221.32 = 148.80 : x
  2. Step 2: Convert to fraction form
    160.34/221.32 = 148.80/x
  3. Step 3: Cross multiply
    160.34x = 221.32 × 148.80
  4. Step 4: Simplify right side
    160.34x = 32,932.42
  5. Step 5: Solve for x
    x = 32,932.42/160.34
  6. Step 6: Final answer
    x = 205.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.