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Finding the Fourth Proportional to 188.04, 283.41 and 177.96

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Solution

The fourth proportional to 188.04, 283.41 and 177.96 is: 268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.04 : 283.41 = 177.96 : x
  2. Step 2: Convert to fraction form
    188.04/283.41 = 177.96/x
  3. Step 3: Cross multiply
    188.04x = 283.41 × 177.96
  4. Step 4: Simplify right side
    188.04x = 50,435.64
  5. Step 5: Solve for x
    x = 50,435.64/188.04
  6. Step 6: Final answer
    x = 268.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.