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Finding the Fourth Proportional to 199.22, 275.10 and 150.01

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Solution

The fourth proportional to 199.22, 275.10 and 150.01 is: 207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.22 : 275.10 = 150.01 : x
  2. Step 2: Convert to fraction form
    199.22/275.10 = 150.01/x
  3. Step 3: Cross multiply
    199.22x = 275.10 × 150.01
  4. Step 4: Simplify right side
    199.22x = 41,267.75
  5. Step 5: Solve for x
    x = 41,267.75/199.22
  6. Step 6: Final answer
    x = 207.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.