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Finding the Fourth Proportional to 226.77, 340.40 and 175.64

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Solution

The fourth proportional to 226.77, 340.40 and 175.64 is: 263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.77 : 340.40 = 175.64 : x
  2. Step 2: Convert to fraction form
    226.77/340.40 = 175.64/x
  3. Step 3: Cross multiply
    226.77x = 340.40 × 175.64
  4. Step 4: Simplify right side
    226.77x = 59,785.28
  5. Step 5: Solve for x
    x = 59,785.28/226.77
  6. Step 6: Final answer
    x = 263.64

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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.