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Finding the Fourth Proportional to 245.06, 367.64 and 175.28

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Solution

The fourth proportional to 245.06, 367.64 and 175.28 is: 262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.06 : 367.64 = 175.28 : x
  2. Step 2: Convert to fraction form
    245.06/367.64 = 175.28/x
  3. Step 3: Cross multiply
    245.06x = 367.64 × 175.28
  4. Step 4: Simplify right side
    245.06x = 64,439.94
  5. Step 5: Solve for x
    x = 64,439.94/245.06
  6. Step 6: Final answer
    x = 262.96

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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.