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Finding the Fourth Proportional to 262.59, 393.57 and 118.23

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Solution

The fourth proportional to 262.59, 393.57 and 118.23 is: 177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.59 : 393.57 = 118.23 : x
  2. Step 2: Convert to fraction form
    262.59/393.57 = 118.23/x
  3. Step 3: Cross multiply
    262.59x = 393.57 × 118.23
  4. Step 4: Simplify right side
    262.59x = 46,531.78
  5. Step 5: Solve for x
    x = 46,531.78/262.59
  6. Step 6: Final answer
    x = 177.20

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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.