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Finding the Fourth Proportional to 147.08, 200.91 and 145.88

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Solution

The fourth proportional to 147.08, 200.91 and 145.88 is: 199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.08 : 200.91 = 145.88 : x
  2. Step 2: Convert to fraction form
    147.08/200.91 = 145.88/x
  3. Step 3: Cross multiply
    147.08x = 200.91 × 145.88
  4. Step 4: Simplify right side
    147.08x = 29,308.02
  5. Step 5: Solve for x
    x = 29,308.02/147.08
  6. Step 6: Final answer
    x = 199.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.