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Finding the Fourth Proportional to 264.02, 363.84 and 186.26

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Solution

The fourth proportional to 264.02, 363.84 and 186.26 is: 256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.02 : 363.84 = 186.26 : x
  2. Step 2: Convert to fraction form
    264.02/363.84 = 186.26/x
  3. Step 3: Cross multiply
    264.02x = 363.84 × 186.26
  4. Step 4: Simplify right side
    264.02x = 67,768.84
  5. Step 5: Solve for x
    x = 67,768.84/264.02
  6. Step 6: Final answer
    x = 256.68

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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.