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Finding the Fourth Proportional to 264.54, 364.92 and 185.76

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Solution

The fourth proportional to 264.54, 364.92 and 185.76 is: 256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.54 : 364.92 = 185.76 : x
  2. Step 2: Convert to fraction form
    264.54/364.92 = 185.76/x
  3. Step 3: Cross multiply
    264.54x = 364.92 × 185.76
  4. Step 4: Simplify right side
    264.54x = 67,787.54
  5. Step 5: Solve for x
    x = 67,787.54/264.54
  6. Step 6: Final answer
    x = 256.25

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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.