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Finding the Fourth Proportional to 188.46, 261.36 and 176.58

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Solution

The fourth proportional to 188.46, 261.36 and 176.58 is: 244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.46 : 261.36 = 176.58 : x
  2. Step 2: Convert to fraction form
    188.46/261.36 = 176.58/x
  3. Step 3: Cross multiply
    188.46x = 261.36 × 176.58
  4. Step 4: Simplify right side
    188.46x = 46,150.95
  5. Step 5: Solve for x
    x = 46,150.95/188.46
  6. Step 6: Final answer
    x = 244.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.