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Finding the Fourth Proportional to 205.84, 282.57 and 176.68

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Solution

The fourth proportional to 205.84, 282.57 and 176.68 is: 242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.84 : 282.57 = 176.68 : x
  2. Step 2: Convert to fraction form
    205.84/282.57 = 176.68/x
  3. Step 3: Cross multiply
    205.84x = 282.57 × 176.68
  4. Step 4: Simplify right side
    205.84x = 49,922.17
  5. Step 5: Solve for x
    x = 49,922.17/205.84
  6. Step 6: Final answer
    x = 242.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.