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Finding the Fourth Proportional to 205.24, 283.30 and 127.64

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Solution

The fourth proportional to 205.24, 283.30 and 127.64 is: 176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 283.30 = 127.64 : x
  2. Step 2: Convert to fraction form
    205.24/283.30 = 127.64/x
  3. Step 3: Cross multiply
    205.24x = 283.30 × 127.64
  4. Step 4: Simplify right side
    205.24x = 36,160.41
  5. Step 5: Solve for x
    x = 36,160.41/205.24
  6. Step 6: Final answer
    x = 176.19

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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.