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Finding the Fourth Proportional to 264.84, 365.42 and 177.77

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Solution

The fourth proportional to 264.84, 365.42 and 177.77 is: 245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.84 : 365.42 = 177.77 : x
  2. Step 2: Convert to fraction form
    264.84/365.42 = 177.77/x
  3. Step 3: Cross multiply
    264.84x = 365.42 × 177.77
  4. Step 4: Simplify right side
    264.84x = 64,958.00
  5. Step 5: Solve for x
    x = 64,958.00/264.84
  6. Step 6: Final answer
    x = 245.27

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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.