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Finding the Fourth Proportional to 275.81, 413.39 and 153.77

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Solution

The fourth proportional to 275.81, 413.39 and 153.77 is: 230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 413.39 = 153.77 : x
  2. Step 2: Convert to fraction form
    275.81/413.39 = 153.77/x
  3. Step 3: Cross multiply
    275.81x = 413.39 × 153.77
  4. Step 4: Simplify right side
    275.81x = 63,565.30
  5. Step 5: Solve for x
    x = 63,565.30/275.81
  6. Step 6: Final answer
    x = 230.47

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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.