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Finding the Fourth Proportional to 192.60, 289.71 and 147.24

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Solution

The fourth proportional to 192.60, 289.71 and 147.24 is: 221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 289.71 = 147.24 : x
  2. Step 2: Convert to fraction form
    192.60/289.71 = 147.24/x
  3. Step 3: Cross multiply
    192.60x = 289.71 × 147.24
  4. Step 4: Simplify right side
    192.60x = 42,656.90
  5. Step 5: Solve for x
    x = 42,656.90/192.60
  6. Step 6: Final answer
    x = 221.48

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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.