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Finding the Fourth Proportional to 264.60, 396.66 and 149.08

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Solution

The fourth proportional to 264.60, 396.66 and 149.08 is: 223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.60 : 396.66 = 149.08 : x
  2. Step 2: Convert to fraction form
    264.60/396.66 = 149.08/x
  3. Step 3: Cross multiply
    264.60x = 396.66 × 149.08
  4. Step 4: Simplify right side
    264.60x = 59,134.07
  5. Step 5: Solve for x
    x = 59,134.07/264.60
  6. Step 6: Final answer
    x = 223.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.