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Finding the Fourth Proportional to 262.58, 393.85 and 118.40

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Solution

The fourth proportional to 262.58, 393.85 and 118.40 is: 177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.58 : 393.85 = 118.40 : x
  2. Step 2: Convert to fraction form
    262.58/393.85 = 118.40/x
  3. Step 3: Cross multiply
    262.58x = 393.85 × 118.40
  4. Step 4: Simplify right side
    262.58x = 46,631.84
  5. Step 5: Solve for x
    x = 46,631.84/262.58
  6. Step 6: Final answer
    x = 177.59

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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.