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Finding the Fourth Proportional to 240.98, 361.53 and 96.70

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Solution

The fourth proportional to 240.98, 361.53 and 96.70 is: 145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.98 : 361.53 = 96.70 : x
  2. Step 2: Convert to fraction form
    240.98/361.53 = 96.70/x
  3. Step 3: Cross multiply
    240.98x = 361.53 × 96.70
  4. Step 4: Simplify right side
    240.98x = 34,958.14
  5. Step 5: Solve for x
    x = 34,958.14/240.98
  6. Step 6: Final answer
    x = 145.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.