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Finding the Fourth Proportional to 250.42, 375.64 and 67.84

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Solution

The fourth proportional to 250.42, 375.64 and 67.84 is: 101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.42 : 375.64 = 67.84 : x
  2. Step 2: Convert to fraction form
    250.42/375.64 = 67.84/x
  3. Step 3: Cross multiply
    250.42x = 375.64 × 67.84
  4. Step 4: Simplify right side
    250.42x = 25,483.42
  5. Step 5: Solve for x
    x = 25,483.42/250.42
  6. Step 6: Final answer
    x = 101.76

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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.