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Finding the Fourth Proportional to 264.42, 364.93 and 185.66

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Solution

The fourth proportional to 264.42, 364.93 and 185.66 is: 256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.42 : 364.93 = 185.66 : x
  2. Step 2: Convert to fraction form
    264.42/364.93 = 185.66/x
  3. Step 3: Cross multiply
    264.42x = 364.93 × 185.66
  4. Step 4: Simplify right side
    264.42x = 67,752.90
  5. Step 5: Solve for x
    x = 67,752.90/264.42
  6. Step 6: Final answer
    x = 256.23

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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.