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Finding the Fourth Proportional to 251.30, 346.56 and 164

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Solution

The fourth proportional to 251.30, 346.56 and 164 is: 226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.30 : 346.56 = 164 : x
  2. Step 2: Convert to fraction form
    251.30/346.56 = 164/x
  3. Step 3: Cross multiply
    251.30x = 346.56 × 164
  4. Step 4: Simplify right side
    251.30x = 56,835.84
  5. Step 5: Solve for x
    x = 56,835.84/251.30
  6. Step 6: Final answer
    x = 226.17

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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.