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Finding the Fourth Proportional to 240.23, 331.65 and 146.99

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Solution

The fourth proportional to 240.23, 331.65 and 146.99 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.23 : 331.65 = 146.99 : x
  2. Step 2: Convert to fraction form
    240.23/331.65 = 146.99/x
  3. Step 3: Cross multiply
    240.23x = 331.65 × 146.99
  4. Step 4: Simplify right side
    240.23x = 48,748.50
  5. Step 5: Solve for x
    x = 48,748.50/240.23
  6. Step 6: Final answer
    x = 202.93

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