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Finding the Fourth Proportional to 275.65, 413.72 and 138.79

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Solution

The fourth proportional to 275.65, 413.72 and 138.79 is: 208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.65 : 413.72 = 138.79 : x
  2. Step 2: Convert to fraction form
    275.65/413.72 = 138.79/x
  3. Step 3: Cross multiply
    275.65x = 413.72 × 138.79
  4. Step 4: Simplify right side
    275.65x = 57,419.51
  5. Step 5: Solve for x
    x = 57,419.51/275.65
  6. Step 6: Final answer
    x = 208.31

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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.