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Finding the Fourth Proportional to 176.70, 243.69 and 127.62

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Solution

The fourth proportional to 176.70, 243.69 and 127.62 is: 176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.70 : 243.69 = 127.62 : x
  2. Step 2: Convert to fraction form
    176.70/243.69 = 127.62/x
  3. Step 3: Cross multiply
    176.70x = 243.69 × 127.62
  4. Step 4: Simplify right side
    176.70x = 31,099.72
  5. Step 5: Solve for x
    x = 31,099.72/176.70
  6. Step 6: Final answer
    x = 176.00

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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.