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Finding the Fourth Proportional to 174, 261.38 and 167.06

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Solution

The fourth proportional to 174, 261.38 and 167.06 is: 250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 261.38 = 167.06 : x
  2. Step 2: Convert to fraction form
    174/261.38 = 167.06/x
  3. Step 3: Cross multiply
    174x = 261.38 × 167.06
  4. Step 4: Simplify right side
    174x = 43,666.14
  5. Step 5: Solve for x
    x = 43,666.14/174
  6. Step 6: Final answer
    x = 250.95

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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.