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Finding the Fourth Proportional to 226.60, 312.70 and 148.92

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Solution

The fourth proportional to 226.60, 312.70 and 148.92 is: 205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.60 : 312.70 = 148.92 : x
  2. Step 2: Convert to fraction form
    226.60/312.70 = 148.92/x
  3. Step 3: Cross multiply
    226.60x = 312.70 × 148.92
  4. Step 4: Simplify right side
    226.60x = 46,567.28
  5. Step 5: Solve for x
    x = 46,567.28/226.60
  6. Step 6: Final answer
    x = 205.50

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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.