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Finding the Fourth Proportional to 275.30, 413.22 and 102.14

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Solution

The fourth proportional to 275.30, 413.22 and 102.14 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.30 : 413.22 = 102.14 : x
  2. Step 2: Convert to fraction form
    275.30/413.22 = 102.14/x
  3. Step 3: Cross multiply
    275.30x = 413.22 × 102.14
  4. Step 4: Simplify right side
    275.30x = 42,206.29
  5. Step 5: Solve for x
    x = 42,206.29/275.30
  6. Step 6: Final answer
    x = 153.31

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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.