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Finding the Fourth Proportional to 205.47, 306.87 and 176.43

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Solution

The fourth proportional to 205.47, 306.87 and 176.43 is: 263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.47 : 306.87 = 176.43 : x
  2. Step 2: Convert to fraction form
    205.47/306.87 = 176.43/x
  3. Step 3: Cross multiply
    205.47x = 306.87 × 176.43
  4. Step 4: Simplify right side
    205.47x = 54,141.07
  5. Step 5: Solve for x
    x = 54,141.07/205.47
  6. Step 6: Final answer
    x = 263.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.