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Finding the Fourth Proportional to 252.34, 377.93 and 183.67

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Solution

The fourth proportional to 252.34, 377.93 and 183.67 is: 275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.34 : 377.93 = 183.67 : x
  2. Step 2: Convert to fraction form
    252.34/377.93 = 183.67/x
  3. Step 3: Cross multiply
    252.34x = 377.93 × 183.67
  4. Step 4: Simplify right side
    252.34x = 69,413.92
  5. Step 5: Solve for x
    x = 69,413.92/252.34
  6. Step 6: Final answer
    x = 275.08

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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.