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Finding the Fourth Proportional to 180.18, 269.04 and 154.53

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Solution

The fourth proportional to 180.18, 269.04 and 154.53 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.18 : 269.04 = 154.53 : x
  2. Step 2: Convert to fraction form
    180.18/269.04 = 154.53/x
  3. Step 3: Cross multiply
    180.18x = 269.04 × 154.53
  4. Step 4: Simplify right side
    180.18x = 41,574.75
  5. Step 5: Solve for x
    x = 41,574.75/180.18
  6. Step 6: Final answer
    x = 230.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.