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Finding the Fourth Proportional to 428.18, 642.14 and 184.65

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Solution

The fourth proportional to 428.18, 642.14 and 184.65 is: 276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.18 : 642.14 = 184.65 : x
  2. Step 2: Convert to fraction form
    428.18/642.14 = 184.65/x
  3. Step 3: Cross multiply
    428.18x = 642.14 × 184.65
  4. Step 4: Simplify right side
    428.18x = 118,570.23
  5. Step 5: Solve for x
    x = 118,570.23/428.18
  6. Step 6: Final answer
    x = 276.92

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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.