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Finding the Fourth Proportional to 189.95, 262.28 and 148.43

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Solution

The fourth proportional to 189.95, 262.28 and 148.43 is: 204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.95 : 262.28 = 148.43 : x
  2. Step 2: Convert to fraction form
    189.95/262.28 = 148.43/x
  3. Step 3: Cross multiply
    189.95x = 262.28 × 148.43
  4. Step 4: Simplify right side
    189.95x = 38,931.25
  5. Step 5: Solve for x
    x = 38,931.25/189.95
  6. Step 6: Final answer
    x = 204.95

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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.