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Finding the Fourth Proportional to 178.09, 245.65 and 136.58

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Solution

The fourth proportional to 178.09, 245.65 and 136.58 is: 188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.09 : 245.65 = 136.58 : x
  2. Step 2: Convert to fraction form
    178.09/245.65 = 136.58/x
  3. Step 3: Cross multiply
    178.09x = 245.65 × 136.58
  4. Step 4: Simplify right side
    178.09x = 33,548.97
  5. Step 5: Solve for x
    x = 33,548.97/178.09
  6. Step 6: Final answer
    x = 188.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.