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Finding the Fourth Proportional to 283.68, 391.44 and 180

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Solution

The fourth proportional to 283.68, 391.44 and 180 is: 248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.68 : 391.44 = 180 : x
  2. Step 2: Convert to fraction form
    283.68/391.44 = 180/x
  3. Step 3: Cross multiply
    283.68x = 391.44 × 180
  4. Step 4: Simplify right side
    283.68x = 70,459.20
  5. Step 5: Solve for x
    x = 70,459.20/283.68
  6. Step 6: Final answer
    x = 248.38

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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.