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Finding the Fourth Proportional to 283.93, 425.64 and 181.27

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Solution

The fourth proportional to 283.93, 425.64 and 181.27 is: 271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.93 : 425.64 = 181.27 : x
  2. Step 2: Convert to fraction form
    283.93/425.64 = 181.27/x
  3. Step 3: Cross multiply
    283.93x = 425.64 × 181.27
  4. Step 4: Simplify right side
    283.93x = 77,155.76
  5. Step 5: Solve for x
    x = 77,155.76/283.93
  6. Step 6: Final answer
    x = 271.74

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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.