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Finding the Fourth Proportional to 199.36, 275.08 and 150.14

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Solution

The fourth proportional to 199.36, 275.08 and 150.14 is: 207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.36 : 275.08 = 150.14 : x
  2. Step 2: Convert to fraction form
    199.36/275.08 = 150.14/x
  3. Step 3: Cross multiply
    199.36x = 275.08 × 150.14
  4. Step 4: Simplify right side
    199.36x = 41,300.51
  5. Step 5: Solve for x
    x = 41,300.51/199.36
  6. Step 6: Final answer
    x = 207.17

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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.