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Finding the Fourth Proportional to 174, 261.30 and 164.88

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Solution

The fourth proportional to 174, 261.30 and 164.88 is: 247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 261.30 = 164.88 : x
  2. Step 2: Convert to fraction form
    174/261.30 = 164.88/x
  3. Step 3: Cross multiply
    174x = 261.30 × 164.88
  4. Step 4: Simplify right side
    174x = 43,083.14
  5. Step 5: Solve for x
    x = 43,083.14/174
  6. Step 6: Final answer
    x = 247.60

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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.