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Finding the Fourth Proportional to 595.14, 892.41 and 184.17

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Solution

The fourth proportional to 595.14, 892.41 and 184.17 is: 276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.14 : 892.41 = 184.17 : x
  2. Step 2: Convert to fraction form
    595.14/892.41 = 184.17/x
  3. Step 3: Cross multiply
    595.14x = 892.41 × 184.17
  4. Step 4: Simplify right side
    595.14x = 164,355.15
  5. Step 5: Solve for x
    x = 164,355.15/595.14
  6. Step 6: Final answer
    x = 276.16

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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.