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Finding the Fourth Proportional to 180.19, 269.65 and 125.08

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Solution

The fourth proportional to 180.19, 269.65 and 125.08 is: 187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.19 : 269.65 = 125.08 : x
  2. Step 2: Convert to fraction form
    180.19/269.65 = 125.08/x
  3. Step 3: Cross multiply
    180.19x = 269.65 × 125.08
  4. Step 4: Simplify right side
    180.19x = 33,727.82
  5. Step 5: Solve for x
    x = 33,727.82/180.19
  6. Step 6: Final answer
    x = 187.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.