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Finding the Fourth Proportional to 558.66, 838.13 and 193.45

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Solution

The fourth proportional to 558.66, 838.13 and 193.45 is: 290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.66 : 838.13 = 193.45 : x
  2. Step 2: Convert to fraction form
    558.66/838.13 = 193.45/x
  3. Step 3: Cross multiply
    558.66x = 838.13 × 193.45
  4. Step 4: Simplify right side
    558.66x = 162,136.25
  5. Step 5: Solve for x
    x = 162,136.25/558.66
  6. Step 6: Final answer
    x = 290.22

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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.