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Finding the Fourth Proportional to 275.65, 413.32 and 167.51

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Solution

The fourth proportional to 275.65, 413.32 and 167.51 is: 251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.65 : 413.32 = 167.51 : x
  2. Step 2: Convert to fraction form
    275.65/413.32 = 167.51/x
  3. Step 3: Cross multiply
    275.65x = 413.32 × 167.51
  4. Step 4: Simplify right side
    275.65x = 69,235.23
  5. Step 5: Solve for x
    x = 69,235.23/275.65
  6. Step 6: Final answer
    x = 251.17

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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.