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Finding the Fourth Proportional to 166.04, 229.02 and 147.20

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Solution

The fourth proportional to 166.04, 229.02 and 147.20 is: 203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.04 : 229.02 = 147.20 : x
  2. Step 2: Convert to fraction form
    166.04/229.02 = 147.20/x
  3. Step 3: Cross multiply
    166.04x = 229.02 × 147.20
  4. Step 4: Simplify right side
    166.04x = 33,711.74
  5. Step 5: Solve for x
    x = 33,711.74/166.04
  6. Step 6: Final answer
    x = 203.03

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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.