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Finding the Fourth Proportional to 275.51, 413.00 and 178.00

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Solution

The fourth proportional to 275.51, 413.00 and 178.00 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.51 : 413.00 = 178.00 : x
  2. Step 2: Convert to fraction form
    275.51/413.00 = 178.00/x
  3. Step 3: Cross multiply
    275.51x = 413.00 × 178.00
  4. Step 4: Simplify right side
    275.51x = 73,511.05
  5. Step 5: Solve for x
    x = 73,511.05/275.51
  6. Step 6: Final answer
    x = 266.82

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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.