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Finding the Fourth Proportional to 467.30, 700.58 and 178.94

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Solution

The fourth proportional to 467.30, 700.58 and 178.94 is: 268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.30 : 700.58 = 178.94 : x
  2. Step 2: Convert to fraction form
    467.30/700.58 = 178.94/x
  3. Step 3: Cross multiply
    467.30x = 700.58 × 178.94
  4. Step 4: Simplify right side
    467.30x = 125,361.79
  5. Step 5: Solve for x
    x = 125,361.79/467.30
  6. Step 6: Final answer
    x = 268.27

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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.