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Finding the Fourth Proportional to 176.98, 244.07 and 135.46

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Solution

The fourth proportional to 176.98, 244.07 and 135.46 is: 186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.98 : 244.07 = 135.46 : x
  2. Step 2: Convert to fraction form
    176.98/244.07 = 135.46/x
  3. Step 3: Cross multiply
    176.98x = 244.07 × 135.46
  4. Step 4: Simplify right side
    176.98x = 33,059.82
  5. Step 5: Solve for x
    x = 33,059.82/176.98
  6. Step 6: Final answer
    x = 186.81

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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.