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Finding the Fourth Proportional to 275.56, 413.58 and 154.08

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Solution

The fourth proportional to 275.56, 413.58 and 154.08 is: 231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.56 : 413.58 = 154.08 : x
  2. Step 2: Convert to fraction form
    275.56/413.58 = 154.08/x
  3. Step 3: Cross multiply
    275.56x = 413.58 × 154.08
  4. Step 4: Simplify right side
    275.56x = 63,724.41
  5. Step 5: Solve for x
    x = 63,724.41/275.56
  6. Step 6: Final answer
    x = 231.25

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