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Finding the Fourth Proportional to 264.76, 365.11 and 186.05

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Solution

The fourth proportional to 264.76, 365.11 and 186.05 is: 256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.76 : 365.11 = 186.05 : x
  2. Step 2: Convert to fraction form
    264.76/365.11 = 186.05/x
  3. Step 3: Cross multiply
    264.76x = 365.11 × 186.05
  4. Step 4: Simplify right side
    264.76x = 67,927.11
  5. Step 5: Solve for x
    x = 67,927.11/264.76
  6. Step 6: Final answer
    x = 256.56

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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.