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Finding the Fourth Proportional to 205.39, 283.58 and 156.52

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Solution

The fourth proportional to 205.39, 283.58 and 156.52 is: 216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.39 : 283.58 = 156.52 : x
  2. Step 2: Convert to fraction form
    205.39/283.58 = 156.52/x
  3. Step 3: Cross multiply
    205.39x = 283.58 × 156.52
  4. Step 4: Simplify right side
    205.39x = 44,385.94
  5. Step 5: Solve for x
    x = 44,385.94/205.39
  6. Step 6: Final answer
    x = 216.11

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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.