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Finding the Fourth Proportional to 240.87, 332.29 and 157.98

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Solution

The fourth proportional to 240.87, 332.29 and 157.98 is: 217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.87 : 332.29 = 157.98 : x
  2. Step 2: Convert to fraction form
    240.87/332.29 = 157.98/x
  3. Step 3: Cross multiply
    240.87x = 332.29 × 157.98
  4. Step 4: Simplify right side
    240.87x = 52,495.17
  5. Step 5: Solve for x
    x = 52,495.17/240.87
  6. Step 6: Final answer
    x = 217.94

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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.