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Finding the Fourth Proportional to 160.60, 221.88 and 147.64

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Solution

The fourth proportional to 160.60, 221.88 and 147.64 is: 203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.60 : 221.88 = 147.64 : x
  2. Step 2: Convert to fraction form
    160.60/221.88 = 147.64/x
  3. Step 3: Cross multiply
    160.60x = 221.88 × 147.64
  4. Step 4: Simplify right side
    160.60x = 32,758.36
  5. Step 5: Solve for x
    x = 32,758.36/160.60
  6. Step 6: Final answer
    x = 203.97

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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.