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Finding the Fourth Proportional to 558.14, 837 and 192.84

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Solution

The fourth proportional to 558.14, 837 and 192.84 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.14 : 837 = 192.84 : x
  2. Step 2: Convert to fraction form
    558.14/837 = 192.84/x
  3. Step 3: Cross multiply
    558.14x = 837 × 192.84
  4. Step 4: Simplify right side
    558.14x = 161,407.08
  5. Step 5: Solve for x
    x = 161,407.08/558.14
  6. Step 6: Final answer
    x = 289.19

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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.