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Finding the Fourth Proportional to 264.93, 396.96 and 187.51

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Solution

The fourth proportional to 264.93, 396.96 and 187.51 is: 280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.93 : 396.96 = 187.51 : x
  2. Step 2: Convert to fraction form
    264.93/396.96 = 187.51/x
  3. Step 3: Cross multiply
    264.93x = 396.96 × 187.51
  4. Step 4: Simplify right side
    264.93x = 74,433.50
  5. Step 5: Solve for x
    x = 74,433.50/264.93
  6. Step 6: Final answer
    x = 280.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.