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Finding the Fourth Proportional to 177.31, 244.70 and 103.67

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Solution

The fourth proportional to 177.31, 244.70 and 103.67 is: 143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.31 : 244.70 = 103.67 : x
  2. Step 2: Convert to fraction form
    177.31/244.70 = 103.67/x
  3. Step 3: Cross multiply
    177.31x = 244.70 × 103.67
  4. Step 4: Simplify right side
    177.31x = 25,368.05
  5. Step 5: Solve for x
    x = 25,368.05/177.31
  6. Step 6: Final answer
    x = 143.07

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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.