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Finding the Fourth Proportional to 264.69, 365.48 and 171.50

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Solution

The fourth proportional to 264.69, 365.48 and 171.50 is: 236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.69 : 365.48 = 171.50 : x
  2. Step 2: Convert to fraction form
    264.69/365.48 = 171.50/x
  3. Step 3: Cross multiply
    264.69x = 365.48 × 171.50
  4. Step 4: Simplify right side
    264.69x = 62,677.14
  5. Step 5: Solve for x
    x = 62,677.14/264.69
  6. Step 6: Final answer
    x = 236.79

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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.