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Finding the Fourth Proportional to 190, 261.85 and 148.49

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Solution

The fourth proportional to 190, 261.85 and 148.49 is: 204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190 : 261.85 = 148.49 : x
  2. Step 2: Convert to fraction form
    190/261.85 = 148.49/x
  3. Step 3: Cross multiply
    190x = 261.85 × 148.49
  4. Step 4: Simplify right side
    190x = 38,882.11
  5. Step 5: Solve for x
    x = 38,882.11/190
  6. Step 6: Final answer
    x = 204.64

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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.