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Finding the Fourth Proportional to 240.71, 332.06 and 157.79

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Solution

The fourth proportional to 240.71, 332.06 and 157.79 is: 217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.71 : 332.06 = 157.79 : x
  2. Step 2: Convert to fraction form
    240.71/332.06 = 157.79/x
  3. Step 3: Cross multiply
    240.71x = 332.06 × 157.79
  4. Step 4: Simplify right side
    240.71x = 52,395.75
  5. Step 5: Solve for x
    x = 52,395.75/240.71
  6. Step 6: Final answer
    x = 217.67

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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.