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Finding the Fourth Proportional to 165.60, 248.94 and 148.56

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Solution

The fourth proportional to 165.60, 248.94 and 148.56 is: 223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.60 : 248.94 = 148.56 : x
  2. Step 2: Convert to fraction form
    165.60/248.94 = 148.56/x
  3. Step 3: Cross multiply
    165.60x = 248.94 × 148.56
  4. Step 4: Simplify right side
    165.60x = 36,982.53
  5. Step 5: Solve for x
    x = 36,982.53/165.60
  6. Step 6: Final answer
    x = 223.32

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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.