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Finding the Fourth Proportional to 205.60, 283.08 and 176.32

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Solution

The fourth proportional to 205.60, 283.08 and 176.32 is: 242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.60 : 283.08 = 176.32 : x
  2. Step 2: Convert to fraction form
    205.60/283.08 = 176.32/x
  3. Step 3: Cross multiply
    205.60x = 283.08 × 176.32
  4. Step 4: Simplify right side
    205.60x = 49,912.67
  5. Step 5: Solve for x
    x = 49,912.67/205.60
  6. Step 6: Final answer
    x = 242.77

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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.