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Finding the Fourth Proportional to 168.95, 233.28 and 148.47

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Solution

The fourth proportional to 168.95, 233.28 and 148.47 is: 205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.95 : 233.28 = 148.47 : x
  2. Step 2: Convert to fraction form
    168.95/233.28 = 148.47/x
  3. Step 3: Cross multiply
    168.95x = 233.28 × 148.47
  4. Step 4: Simplify right side
    168.95x = 34,635.08
  5. Step 5: Solve for x
    x = 34,635.08/168.95
  6. Step 6: Final answer
    x = 205.00

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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.