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Finding the Fourth Proportional to 264.26, 364.50 and 185.74

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Solution

The fourth proportional to 264.26, 364.50 and 185.74 is: 256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.26 : 364.50 = 185.74 : x
  2. Step 2: Convert to fraction form
    264.26/364.50 = 185.74/x
  3. Step 3: Cross multiply
    264.26x = 364.50 × 185.74
  4. Step 4: Simplify right side
    264.26x = 67,703.37
  5. Step 5: Solve for x
    x = 67,703.37/264.26
  6. Step 6: Final answer
    x = 256.20

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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.