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Finding the Fourth Proportional to 165.45, 247.06 and 148.14

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Solution

The fourth proportional to 165.45, 247.06 and 148.14 is: 221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.45 : 247.06 = 148.14 : x
  2. Step 2: Convert to fraction form
    165.45/247.06 = 148.14/x
  3. Step 3: Cross multiply
    165.45x = 247.06 × 148.14
  4. Step 4: Simplify right side
    165.45x = 36,599.65
  5. Step 5: Solve for x
    x = 36,599.65/165.45
  6. Step 6: Final answer
    x = 221.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.