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Finding the Fourth Proportional to 188.68, 281.17 and 176.53

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Solution

The fourth proportional to 188.68, 281.17 and 176.53 is: 263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.68 : 281.17 = 176.53 : x
  2. Step 2: Convert to fraction form
    188.68/281.17 = 176.53/x
  3. Step 3: Cross multiply
    188.68x = 281.17 × 176.53
  4. Step 4: Simplify right side
    188.68x = 49,634.94
  5. Step 5: Solve for x
    x = 49,634.94/188.68
  6. Step 6: Final answer
    x = 263.06

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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.