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Finding the Fourth Proportional to 558.02, 837.01 and 147.16

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Solution

The fourth proportional to 558.02, 837.01 and 147.16 is: 220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.02 : 837.01 = 147.16 : x
  2. Step 2: Convert to fraction form
    558.02/837.01 = 147.16/x
  3. Step 3: Cross multiply
    558.02x = 837.01 × 147.16
  4. Step 4: Simplify right side
    558.02x = 123,169.47
  5. Step 5: Solve for x
    x = 123,169.47/558.02
  6. Step 6: Final answer
    x = 220.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.