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Finding the Fourth Proportional to 264.35, 396.58 and 118.09

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Solution

The fourth proportional to 264.35, 396.58 and 118.09 is: 177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.35 : 396.58 = 118.09 : x
  2. Step 2: Convert to fraction form
    264.35/396.58 = 118.09/x
  3. Step 3: Cross multiply
    264.35x = 396.58 × 118.09
  4. Step 4: Simplify right side
    264.35x = 46,832.13
  5. Step 5: Solve for x
    x = 46,832.13/264.35
  6. Step 6: Final answer
    x = 177.16

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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.