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Finding the Fourth Proportional to 263.98, 395.64 and 148.39

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Solution

The fourth proportional to 263.98, 395.64 and 148.39 is: 222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.98 : 395.64 = 148.39 : x
  2. Step 2: Convert to fraction form
    263.98/395.64 = 148.39/x
  3. Step 3: Cross multiply
    263.98x = 395.64 × 148.39
  4. Step 4: Simplify right side
    263.98x = 58,709.02
  5. Step 5: Solve for x
    x = 58,709.02/263.98
  6. Step 6: Final answer
    x = 222.40

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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.