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Finding the Fourth Proportional to 264.84, 395.02 and 249.86

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Solution

The fourth proportional to 264.84, 395.02 and 249.86 is: 372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.84 : 395.02 = 249.86 : x
  2. Step 2: Convert to fraction form
    264.84/395.02 = 249.86/x
  3. Step 3: Cross multiply
    264.84x = 395.02 × 249.86
  4. Step 4: Simplify right side
    264.84x = 98,699.70
  5. Step 5: Solve for x
    x = 98,699.70/264.84
  6. Step 6: Final answer
    x = 372.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.