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Finding the Fourth Proportional to 252.18, 377.39 and 184.14

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Solution

The fourth proportional to 252.18, 377.39 and 184.14 is: 275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.18 : 377.39 = 184.14 : x
  2. Step 2: Convert to fraction form
    252.18/377.39 = 184.14/x
  3. Step 3: Cross multiply
    252.18x = 377.39 × 184.14
  4. Step 4: Simplify right side
    252.18x = 69,491.67
  5. Step 5: Solve for x
    x = 69,491.67/252.18
  6. Step 6: Final answer
    x = 275.56

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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.