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Finding the Fourth Proportional to 283.99, 391.72 and 185.74

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Solution

The fourth proportional to 283.99, 391.72 and 185.74 is: 256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.99 : 391.72 = 185.74 : x
  2. Step 2: Convert to fraction form
    283.99/391.72 = 185.74/x
  3. Step 3: Cross multiply
    283.99x = 391.72 × 185.74
  4. Step 4: Simplify right side
    283.99x = 72,758.07
  5. Step 5: Solve for x
    x = 72,758.07/283.99
  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.