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Finding the Fourth Proportional to 264.60, 365.28 and 177.36

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Solution

The fourth proportional to 264.60, 365.28 and 177.36 is: 244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.60 : 365.28 = 177.36 : x
  2. Step 2: Convert to fraction form
    264.60/365.28 = 177.36/x
  3. Step 3: Cross multiply
    264.60x = 365.28 × 177.36
  4. Step 4: Simplify right side
    264.60x = 64,786.06
  5. Step 5: Solve for x
    x = 64,786.06/264.60
  6. Step 6: Final answer
    x = 244.85

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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.