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Finding the Fourth Proportional to 275.82, 413.67 and 102.46

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Solution

The fourth proportional to 275.82, 413.67 and 102.46 is: 153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.82 : 413.67 = 102.46 : x
  2. Step 2: Convert to fraction form
    275.82/413.67 = 102.46/x
  3. Step 3: Cross multiply
    275.82x = 413.67 × 102.46
  4. Step 4: Simplify right side
    275.82x = 42,384.63
  5. Step 5: Solve for x
    x = 42,384.63/275.82
  6. Step 6: Final answer
    x = 153.67

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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.