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Finding the Fourth Proportional to 558.09, 837.18 and 147.23

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Solution

The fourth proportional to 558.09, 837.18 and 147.23 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.09 : 837.18 = 147.23 : x
  2. Step 2: Convert to fraction form
    558.09/837.18 = 147.23/x
  3. Step 3: Cross multiply
    558.09x = 837.18 × 147.23
  4. Step 4: Simplify right side
    558.09x = 123,258.01
  5. Step 5: Solve for x
    x = 123,258.01/558.09
  6. Step 6: Final answer
    x = 220.86

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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.