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Finding the Fourth Proportional to 177.69, 245.23 and 107.76

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Solution

The fourth proportional to 177.69, 245.23 and 107.76 is: 148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.69 : 245.23 = 107.76 : x
  2. Step 2: Convert to fraction form
    177.69/245.23 = 107.76/x
  3. Step 3: Cross multiply
    177.69x = 245.23 × 107.76
  4. Step 4: Simplify right side
    177.69x = 26,425.72
  5. Step 5: Solve for x
    x = 26,425.72/177.69
  6. Step 6: Final answer
    x = 148.72

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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.