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Finding the Fourth Proportional to 205.24, 283.20 and 117.91

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Solution

The fourth proportional to 205.24, 283.20 and 117.91 is: 162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 283.20 = 117.91 : x
  2. Step 2: Convert to fraction form
    205.24/283.20 = 117.91/x
  3. Step 3: Cross multiply
    205.24x = 283.20 × 117.91
  4. Step 4: Simplify right side
    205.24x = 33,392.11
  5. Step 5: Solve for x
    x = 33,392.11/205.24
  6. Step 6: Final answer
    x = 162.70

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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.