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Finding the Fourth Proportional to 283.88, 392.01 and 179.16

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Solution

The fourth proportional to 283.88, 392.01 and 179.16 is: 247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.88 : 392.01 = 179.16 : x
  2. Step 2: Convert to fraction form
    283.88/392.01 = 179.16/x
  3. Step 3: Cross multiply
    283.88x = 392.01 × 179.16
  4. Step 4: Simplify right side
    283.88x = 70,230.37
  5. Step 5: Solve for x
    x = 70,230.37/283.88
  6. Step 6: Final answer
    x = 247.39

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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.