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Finding the Fourth Proportional to 251.48, 346.80 and 164

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Solution

The fourth proportional to 251.48, 346.80 and 164 is: 226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.48 : 346.80 = 164 : x
  2. Step 2: Convert to fraction form
    251.48/346.80 = 164/x
  3. Step 3: Cross multiply
    251.48x = 346.80 × 164
  4. Step 4: Simplify right side
    251.48x = 56,875.20
  5. Step 5: Solve for x
    x = 56,875.20/251.48
  6. Step 6: Final answer
    x = 226.16

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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.