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Finding the Fourth Proportional to 240.07, 331.29 and 146.83

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Solution

The fourth proportional to 240.07, 331.29 and 146.83 is: 202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.07 : 331.29 = 146.83 : x
  2. Step 2: Convert to fraction form
    240.07/331.29 = 146.83/x
  3. Step 3: Cross multiply
    240.07x = 331.29 × 146.83
  4. Step 4: Simplify right side
    240.07x = 48,643.31
  5. Step 5: Solve for x
    x = 48,643.31/240.07
  6. Step 6: Final answer
    x = 202.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.