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Finding the Fourth Proportional to 177.98, 245.65 and 108.09

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Solution

The fourth proportional to 177.98, 245.65 and 108.09 is: 149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.98 : 245.65 = 108.09 : x
  2. Step 2: Convert to fraction form
    177.98/245.65 = 108.09/x
  3. Step 3: Cross multiply
    177.98x = 245.65 × 108.09
  4. Step 4: Simplify right side
    177.98x = 26,551.10
  5. Step 5: Solve for x
    x = 26,551.10/177.98
  6. Step 6: Final answer
    x = 149.18

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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.