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Finding the Fourth Proportional to 205.59, 283.76 and 128.01

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Solution

The fourth proportional to 205.59, 283.76 and 128.01 is: 176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.59 : 283.76 = 128.01 : x
  2. Step 2: Convert to fraction form
    205.59/283.76 = 128.01/x
  3. Step 3: Cross multiply
    205.59x = 283.76 × 128.01
  4. Step 4: Simplify right side
    205.59x = 36,325.74
  5. Step 5: Solve for x
    x = 36,325.74/205.59
  6. Step 6: Final answer
    x = 176.69

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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.